{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "authorship_tag": "ABX9TyMuSpdR//P45dWKMFKWB1Lb",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/jayadipti/Prototype-Development-Plan-for-PEL-s-In-House-Bare-Centrifugal-Compressor/blob/main/Untitled3.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "1. Financial Analysis: Investment Payback Period"
      ],
      "metadata": {
        "id": "iIfSD5j_J4vS"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "\n",
        "initial_investment = 35_000_000\n",
        "annual_cash_inflows = [5_000_000, 8_000_000, 12_000_000, 15_000_000, 18_000_000]\n",
        "\n",
        "\n",
        "cumulative_cash_flow = 0\n",
        "payback_period = 0\n",
        "\n",
        "for year, cash_flow in enumerate(annual_cash_inflows, start=1):\n",
        "    cumulative_cash_flow += cash_flow\n",
        "    if cumulative_cash_flow >= initial_investment:\n",
        "\n",
        "        remaining_amount = initial_investment - (cumulative_cash_flow - cash_flow)\n",
        "        fractional_year = remaining_amount / cash_flow\n",
        "        payback_period = year - 1 + fractional_year\n",
        "        break\n",
        "\n",
        "print(f\"Payback Period: {payback_period:.2f} years\")\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "q5DHCFyjHD-S",
        "outputId": "d019222d-067c-4c6b-fbd5-2227a3009146"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Payback Period: 3.67 years\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "2. Supply Chain Network Optimization"
      ],
      "metadata": {
        "id": "8gxpoPlcJkUW"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from scipy.optimize import linprog\n",
        "\n",
        "\n",
        "costs = [8, 10, 7, 6, 9]\n",
        "capacities = [500, 400, 600, 700, 300]\n",
        "\n",
        "demand = 1500\n",
        "\n",
        "c = costs\n",
        "\n",
        "\n",
        "A_eq = [[1, 1, 1, 1, 1]]\n",
        "b_eq = [demand]\n",
        "\n",
        "A_ub = [[1 if i == j else 0 for i in range(len(costs))] for j in range(len(costs))]\n",
        "b_ub = capacities\n",
        "\n",
        "\n",
        "x_bounds = [(0, None) for _ in costs]\n",
        "\n",
        "\n",
        "result = linprog(c, A_ub=A_ub, b_ub=b_ub, A_eq=A_eq, b_eq=b_eq, bounds=x_bounds, method='highs')\n",
        "\n",
        "print(\"Optimal Distribution Plan:\", result.x)\n",
        "print(\"Minimum Cost (in Rs.):\", result.fun)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "NdElpb-7IAK0",
        "outputId": "862febd5-c74d-4f22-e0e9-80f816127987"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Optimal Distribution Plan: [200.   0. 600. 700.   0.]\n",
            "Minimum Cost (in Rs.): 10000.0\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "3. Market Share Growth Simulation"
      ],
      "metadata": {
        "id": "RHKR-aTsKO_B"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "\n",
        "initial_market_share = 0.02\n",
        "target_market_share = 0.20\n",
        "annual_growth_rate = 0.05\n",
        "\n",
        "year = 0\n",
        "current_market_share = initial_market_share\n",
        "\n",
        "while current_market_share < target_market_share:\n",
        "    current_market_share += current_market_share * annual_growth_rate\n",
        "    year += 1\n",
        "\n",
        "print(f\"Time to reach {target_market_share*100:.0f}% market share: {year} years\")\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "7lM894BBKHM8",
        "outputId": "e69aa0e7-d1c0-4221-bf0c-f872618838bb"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Time to reach 20% market share: 48 years\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "4. Predicting Compressor Performance with Machine Learning"
      ],
      "metadata": {
        "id": "uXyyhtAYKjAD"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "from sklearn.linear_model import LinearRegression\n",
        "from sklearn.model_selection import train_test_split\n",
        "from sklearn.metrics import mean_squared_error\n",
        "\n",
        "\n",
        "X = np.array([[500, 2.0], [600, 2.5], [700, 3.0], [800, 3.5], [900, 4.0]])\n",
        "y = np.array([75, 78, 80, 82, 85])\n",
        "\n",
        "\n",
        "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n",
        "\n",
        "\n",
        "model = LinearRegression()\n",
        "model.fit(X_train, y_train)\n",
        "\n",
        "\n",
        "y_pred = model.predict(X_test)\n",
        "mse = mean_squared_error(y_test, y_pred)\n",
        "\n",
        "print(f\"Model Coefficients: {model.coef_}\")\n",
        "print(f\"Mean Squared Error: {mse:.2f}\")\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ae-RWzpWKY2j",
        "outputId": "c1540fdf-aabe-44e9-99dc-6340e6529db4"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Model Coefficients: [0.02457081 0.00012285]\n",
            "Mean Squared Error: 0.33\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "5. Production Timeline Estimation"
      ],
      "metadata": {
        "id": "2BIK_1TwKyi2"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import matplotlib.dates as mdates\n",
        "import pandas as pd\n",
        "from datetime import datetime, timedelta\n",
        "\n",
        "\n",
        "milestones = {\n",
        "    \"Research & Development\": 180,\n",
        "    \"Prototype Testing\": 90,\n",
        "    \"Manufacturing Setup\": 120,\n",
        "    \"Market Launch\": 60,\n",
        "}\n",
        "\n",
        "\n",
        "start_date = datetime(2025, 1, 1)\n",
        "dates = [(start_date + timedelta(days=sum(list(milestones.values())[:i]))).date() for i in range(len(milestones)+1)]\n",
        "\n",
        "\n",
        "plt.figure(figsize=(10, 6))\n",
        "for i, (task, duration) in enumerate(milestones.items()):\n",
        "    plt.barh(i, duration, left=sum(list(milestones.values())[:i]), color='skyblue')\n",
        "\n",
        "plt.yticks(range(len(milestones)), milestones.keys())\n",
        "plt.xlabel(\"Timeline (Days)\")\n",
        "plt.title(\"Project Timeline - Gantt Chart\")\n",
        "plt.grid(axis=\"x\", linestyle=\"--\")\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 564
        },
        "id": "8IRvKBDkKoja",
        "outputId": "4566a7f7-de11-421e-a28c-0e032df57784"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "6.Investment and ROI Analysis"
      ],
      "metadata": {
        "id": "_6N594A5Lcud"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "\n",
        "initial_investment = 35.0e7\n",
        "expected_revenue_growth_rate = 0.2\n",
        "time_period = 5\n",
        "annual_revenue_current = 260.0e7\n",
        "\n",
        "\n",
        "future_revenue = annual_revenue_current * (1 + expected_revenue_growth_rate)**time_period\n",
        "total_revenue = sum([annual_revenue_current * (1 + expected_revenue_growth_rate)**i for i in range(1, time_period + 1)])\n",
        "roi = (future_revenue - initial_investment) / initial_investment * 100\n",
        "\n",
        "\n",
        "print(f\"Expected Revenue After {time_period} Years: ₹{future_revenue / 1e7:.2f} Crores\")\n",
        "print(f\"Total Revenue Over {time_period} Years: ₹{total_revenue / 1e7:.2f} Crores\")\n",
        "print(f\"ROI: {roi:.2f}%\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "zsVX-rxGLLOw",
        "outputId": "c28ee025-b579-477b-82b5-6afe3c7b7b7d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Expected Revenue After 5 Years: ₹646.96 Crores\n",
            "Total Revenue Over 5 Years: ₹2321.78 Crores\n",
            "ROI: 1748.47%\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "7.Supply Chain Optimization"
      ],
      "metadata": {
        "id": "BUWlHPZ6LqPX"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import networkx as nx\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "\n",
        "supply_chain = nx.Graph()\n",
        "supply_chain.add_weighted_edges_from([\n",
        "    (\"Factory\", \"Warehouse1\", 10),\n",
        "    (\"Factory\", \"Warehouse2\", 15),\n",
        "    (\"Warehouse1\", \"Customer1\", 20),\n",
        "    (\"Warehouse1\", \"Customer2\", 25),\n",
        "    (\"Warehouse2\", \"Customer3\", 10),\n",
        "    (\"Warehouse2\", \"Customer4\", 15),\n",
        "])\n",
        "\n",
        "\n",
        "shortest_paths = nx.shortest_path_length(supply_chain, source=\"Factory\", weight=\"weight\")\n",
        "print(\"Shortest paths from Factory:\")\n",
        "for destination, distance in shortest_paths.items():\n",
        "    print(f\"{destination}: {distance} units\")\n",
        "\n",
        "\n",
        "pos = nx.spring_layout(supply_chain)\n",
        "nx.draw(supply_chain, pos, with_labels=True, node_color=\"skyblue\", node_size=2000)\n",
        "nx.draw_networkx_edge_labels(supply_chain, pos, edge_labels={(u, v): d[\"weight\"] for u, v, d in supply_chain.edges(data=True)})\n",
        "plt.title(\"Supply Chain Network\")\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 684
        },
        "id": "sh9EPRq8Lpx6",
        "outputId": "e6047225-ab8d-4bce-dc68-2b05b99980e7"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Shortest paths from Factory:\n",
            "Factory: 0 units\n",
            "Warehouse1: 10 units\n",
            "Warehouse2: 15 units\n",
            "Customer3: 25 units\n",
            "Customer1: 30 units\n",
            "Customer4: 30 units\n",
            "Customer2: 35 units\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "8.Compressor Performance Modeling"
      ],
      "metadata": {
        "id": "eSHJ2-qQMAl8"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "\n",
        "flow_rate = np.linspace(0, 100, 500)\n",
        "pressure = 10 - (flow_rate**2) / 1000\n",
        "\n",
        "\n",
        "plt.figure(figsize=(10, 6))\n",
        "plt.plot(flow_rate, pressure, label=\"Performance Curve\")\n",
        "plt.xlabel(\"Flow Rate (m³/s)\")\n",
        "plt.ylabel(\"Pressure (Bar)\")\n",
        "plt.title(\"Centrifugal Compressor Performance Curve\")\n",
        "plt.legend()\n",
        "plt.grid()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 564
        },
        "id": "F3a5BtzRMATF",
        "outputId": "af37ec2b-a21d-46a6-cd04-f5bf1881b32e"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x600 with 1 Axes>"
            ],
            "image/png": 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xsbFYunTpS2dHjIyMBAB8+umn2L9/P+rUqYPy5cujdevW6Nu3L4KCgnTrzpo1C8HBwfDw8EBAQADat2+PgQMH6s7/eNlrAwD+/v44duyY3jKFQgF3d/dcc73MggULUKFCBSgUCjg7O8PPz09XVg39+TBkbN+/fx8ymSzH+HRxcYGNjU2O9/2/70V2WR/Ss2S997mNCa1Wi7i4ON24Pn78OCZPnoyTJ08iOTlZb/24uDjdtnJ7HuDFz3/2MXbnzh289dZbL80KvHhdr127BkdHx1zvzxpDuTH0d5yhXvYe9u7dG9u3b8fJkyfRoEED3LlzB2fPntW7dpuh44WIChZLEhG9lJWVFdzc3HD58uU8ra/VaiEIAv766y/I5fIc91taWurdzm0dAHp/XX2dN52RK7dJGwDoFRtDffPNN5g4cSKGDBmCr776CnZ2dpDJZBg7diy0Wq3B2/P398eFCxeQnp5e4IXwZe/Bm7w3L3tN//teZb0W/fv3R3BwcK6PqVatGgCgYsWKuHHjBnbt2oXdu3djy5YtWLhwISZNmoSpU6cCeHFuVKNGjbBt2zbs3bsXs2fPxsyZM7F161a0a9futbn/K/sewbyqU6dOjhPvsxj685Gfsf2y1/6/XrXt/I6JO3fuoEWLFvD398ecOXPg4eEBExMT/Pnnn/jhhx9yjP2C+PkHXryuVatWxZw5c3K9/7/lLrusiVAuXbqUp+cy9PfFy17nTp06wdzcHJs2bUKDBg2wadMmyGQy9OzZU7eOoeOFiAoWSxIRvVLHjh2xdOlSnDx5EvXr13/luj4+PhBFEeXKlUOFChUK5Pnz+qEvv7L2AsXGxuqdBP3fv7x7enoCeHGyefa/wsfExOTYu7J582Y0a9YMv/zyi97y2NhYODg4GJyxU6dOOHnyJLZs2fLaaaSzct64cUNvBq309HSEhYWhZcuWBj//69y6dUvvNbl9+za0Wi28vLxe+ThHR0eo1WpkZmbmKZeFhQV69+6N3r17Iz09Hd27d8f06dMxYcIE3eFzrq6uGDlyJEaOHInIyEjUqlUL06dPR7t27fRem6xDsbLcuHFDd39hKYyfjyyenp7QarW4desWKlasqFseERGB2NjYQv/egBeTvKSlpWHnzp16e4ne5LAwHx+f1/6RxsfHB6GhoWjRooXBvy8qVKgAPz8/7NixA/PmzXtt8cj++yK7//6+eB0LCwt07NgRv/32G+bMmYONGzeiUaNGepO6FOZ4IaLX4zlJRPRKn3zyCSwsLDBs2DBERETkuP/OnTuYN28eAKB79+6Qy+WYOnVqjr8Gi6KImJgYg58/67o0//1QUlB8fHwAAEeOHNEtS0pKwqpVq/TWa9GiBRQKRY7pjH/66acc25TL5Tm+/99++y3HNNN5NWLECLi6uuLjjz/GzZs3c9wfGRmJr7/+GsCLc2JMTEzw448/6mX45ZdfEBcXhw4dOuQrw6ssWLBA7/b8+fMB4LV7b+RyOd566y1s2bIl1w/CUVFRun//d+yYmJigUqVKEEURGo0GmZmZOc55cXJygpubm24a6MDAQDg5OWHx4sV6U0P/9ddfuHbtWqG8NtkVxs9Hlvbt2wOA3uFaAHR7Vwr7ewP+v2co+/cWFxeHFStW5Hubb731FkJDQ3PMzpf9eXr16oXHjx/neq2wlJQUJCUlvfI5pk6dipiYGAwbNkzv/Kose/fuxa5duwDk/vsiMzMzXxfT7t27N8LDw/Hzzz8jNDQUvXv31ru/MMcLEb0e9yQR0Sv5+Phg3bp16N27NypWrIiBAweiSpUqSE9Px4kTJ/Dbb7/prhHk4+ODr7/+GhMmTMC9e/fQtWtXqNVqhIWFYdu2bXj33Xcxbtw4g5/fxsYGixcvhlqthoWFBerWrfvKcyoM0bp1a5QtWxZDhw7F+PHjIZfLsXz5cjg6OuLBgwe69ZydnTFmzBh8//336Ny5M9q2bYvQ0FD89ddfcHBw0PsLdseOHTFt2jQMHjwYDRo0wKVLl7B27dqXXhvldWxtbbFt2za0b98eNWrUQP/+/REQEAAAOHfuHNavX6/by+fo6IgJEyZg6tSpaNu2LTp37owbN25g4cKFqF27tt5EGQUlLCxM95qcPHkSv/76K/r27Yvq1au/9rHffvstDh06hLp16+Kdd95BpUqV8OzZM5w7dw779+/Hs2fPALx4n1xcXBAUFARnZ2dcu3YNP/30Ezp06AC1Wo3Y2Fi4u7ujR48eqF69OiwtLbF//36EhITg+++/B/DiHI6ZM2di8ODBaNKkCd5++23dFOBeXl748MMPC/y1ya4wfj6yVK9eHcHBwVi6dCliY2PRpEkTnD59GqtWrULXrl3RrFmzAv5ucmrdujVMTEzQqVMnDB8+HImJiVi2bBmcnJzw5MmTfG1z/Pjx2Lx5M3r27IkhQ4YgICAAz549w86dO7F48WJUr14dAwYMwKZNmzBixAgcOnQIQUFByMzMxPXr17Fp0ybd9aBepnfv3rh06RKmT5+O8+fP4+2334anpydiYmKwe/duHDhwQHc9rsqVK6NevXqYMGECnj17Bjs7O2zYsCHXcvU6WdffGjdunO4PBtkV5nghojwosnn0iKhYu3nzpvjOO++IXl5eoomJiahWq8WgoCBx/vz5Ympqqt66W7ZsERs2bChaWFiIFhYWor+/vzhq1Cjxxo0bunWaNGmS65TOwcHBOaYV3rFjh1ipUiVRoVDoTUP9sm1k3ZeXKcBFURTPnj0r1q1bVzQxMRHLli0rzpkzJ9epfjMyMsSJEyeKLi4uopmZmdi8eXPx2rVror29vThixAjdeqmpqeLHH38surq6imZmZmJQUJB48uTJHJnyOgV4lvDwcPHDDz8UK1SoIJqamorm5uZiQECAOH36dDEuLk5v3Z9++kn09/cXlUql6OzsLL733nvi8+fPc7xGub1+np6eYocOHXIs/+/rlzUF+NWrV8UePXqIarVatLW1FUePHq03xXZuj80uIiJCHDVqlOjh4SEqlUrRxcVFbNGihbh06VLdOkuWLBEbN24s2tvbiyqVSvTx8RHHjx+v+77T0tLE8ePHi9WrVxfVarVoYWEhVq9eXVy4cGGO59u4caNYs2ZNUaVSiXZ2dmK/fv3ER48e6a2T2zTbr5I1XkJCQl677pv8fLwqm0ajEadOnSqWK1dOVCqVooeHhzhhwoQcP58ve3+zprH+7bff8vS9Zb3/UVFRumU7d+4Uq1WrJpqamopeXl7izJkzxeXLl+f4WXpZhtx+bmNiYsTRo0eLZcqUEU1MTER3d3cxODhYb9r49PR0cebMmWLlypVFlUol2traigEBAeLUqVNz/Gy8zIEDB8QuXbqITk5OokKhEB0dHcVOnTqJO3bs0Fvvzp07YsuWLUWVSiU6OzuLn3/+ubhv375cpwB/3bT1/fr1EwGILVu2fOk6eRkvRFTwBFE08AxJIiLSiY2Nha2tLb7++mt88cUXUscpUlkXrY2KisrXuVZERETGiuckERHlUUpKSo5lWeeANG3atGjDEBERUaHhOUlERHm0ceNGrFy5Eu3bt4elpSWOHTuG9evXo3Xr1nrX6yEiIqLijSWJiCiPqlWrBoVCgVmzZiE+Pl43mUPWzHJERERUMvCcJCIiIiIiomx4ThIREREREVE2LElERERERETZlPhzkrRaLcLDw6FWq/Uu9khERERERKWLKIpISEiAm5sbZLKX7y8q8SUpPDwcHh4eUscgIiIiIiIj8fDhQ7i7u7/0/hJfktRqNYAXL4SVlZWkWTQaDfbu3YvWrVtDqVRKmoWKB44ZMhTHDBmKY4YMxTFDhjKmMRMfHw8PDw9dR3iZEl+Ssg6xs7KyMoqSZG5uDisrK8kHCBUPHDNkKI4ZMhTHDBmKY4YMZYxj5nWn4XDiBiIiIiIiomxYkoiIiIiIiLJhSSIiIiIiIsqmxJ+TRERERES5E0URGRkZyMzMzPNjNBoNFAoFUlNTDXoclV5FOWbkcjkUCsUbX/qHJYmIiIioFEpPT8eTJ0+QnJxs0ONEUYSLiwsePnzIa1BSnhT1mDE3N4erqytMTEzyvQ2WJCIiIqJSRqvVIiwsDHK5HG5ubjAxMcnzh1etVovExERYWlq+8mKcRFmKasyIooj09HRERUUhLCwMvr6++X4+liQiIiKiUiY9PR1arRYeHh4wNzc36LFarRbp6ekwNTVlSaI8KcoxY2ZmBqVSifv37+ueMz84somIiIhKKZYcKokKYlzzJ4OIiIiIiCgbliQiIiIiIqJsWJKIiIiIiABMmTIFzs7OEAQB27dvlzoOSYgliYiIiIiKjUGDBkEQBAiCABMTE5QvXx7Tpk1DRkbGG2332rVrmDp1KpYsWYInT56gXbt2BZS4ZNiyZQuaNm0Ka2trWFpaolq1apg2bRqePXsmdbRCwZJERERERMVK27Zt8eTJE9y6dQsff/wxpkyZgtmzZ+drW5mZmdBqtbhz5w4AoEuXLnBxcYFKpcrX9jQaTb4eZ8y++OIL9O7dG7Vr18Zff/2Fy5cv4/vvv0doaCjWrFmT7+2mp6cXYMqCxZJERERERBBFEcnpGXn6SknPzPO6efkSRdGgrCqVCi4uLvD09MR7772Hli1bYufOnQCAtLQ0jBs3DmXKlIGFhQXq1q2Lw4cP6x67cuVK2NjYYOfOnahUqRJUKhWGDBmCTp06AXgxM1rWNaO0Wi2mTZsGd3d3qFQq1KhRA7t379Zt6969exAEARs3bkSTJk1gamqKtWvXYtCgQejatSu++eYbODs7w8bGRre3a/z48bCzs4O7uztWrFih9319+umnqFChAszNzeHt7Y2JEyfqla4pU6agRo0aWLNmDby8vGBtbY0+ffogISFBt45Wq8WsWbNQvnx5qFQqlC1bFtOnT9fd//DhQ/Tq1Qs2Njaws7NDly5dcO/evZe+1qdPn8Y333yD77//HrNnz0aDBg3g5eWFVq1aYcuWLQgODgYA3fec3dixY9G0aVPd7ebNm2P06NEYO3YsHBwc0KZNG/Tt2xe9e/fWe5xGo4GDgwNWr16t+55mzJiBcuXKwczMDNWrV8fmzZtfmrkgSHqdpCNHjmD27Nk4e/Ysnjx5gm3btum9uKIoYvLkyVi2bBliY2MRFBSERYsWwdfXV7rQRERERCVQiiYTlSbtkeS5r05rA3OT/H8sNTMzQ0xMDABg9OjRuHr1KjZs2AA3Nzds27YNbdu2xaVLl3SfIZOTkzFz5kz8/PPPsLe3h6urK5o2bYrBgwfjyZMnuu3OmzcP33//PZYsWYKaNWti+fLl6Ny5M65cuaL3efSzzz7D999/j5o1a8LU1BSHDx/GwYMH4e7ujiNHjuD48eMYOnQoTpw4gcaNG+Off/7Bxo0bMXz4cLRq1Qru7u4AALVajZUrV8LNzQ2XLl3CO++8A7VajU8++UT3XHfu3MH27duxa9cuPH/+HL169cK3336rK0ITJkzAsmXL8MMPP6Bhw4Z48uQJrl+/DuBF+WjTpg3q16+Po0ePQqFQ4Ouvv0bbtm1x8eJFmJiY5Hht165dC0tLS4wcOTLX197Gxsag92rVqlV47733cPz4cQDA7du30bNnT93FZgFgz549SE5ORrdu3QAAM2bMwK+//orFixfD19cXR44cQf/+/eHo6IgmTZoY9Px5JemepKSkJFSvXh0LFizI9f5Zs2bhxx9/xOLFi/HPP//AwsICbdq0QWpqahEnJSIiIiJjI4oi9u/fjz179qB58+Z48OABVqxYgd9++w2NGjWCj48Pxo0bh4YNG+rttdFoNFi4cCEaNGgAPz8/WFlZ6T7su7i4wMXFBQDw3Xff4dNPP0WfPn3g5+eHmTNnokaNGpg7d65ejrFjx6J79+4oV64cXF1dAQB2dnb48ccf4efnhyFDhsDPzw/Jycn4/PPP4evriwkTJsDExATHjh3TbefLL7/U7anp1KkTxo0bh02bNuk9l1arxcqVK1GlShU0atQIAwYMwIEDBwAACQkJmDdvHmbNmoXg4GD4+PigYcOGGDZsGABg48aN0Gq1+Pnnn1G1alVUrFgRK1aswIMHD/T2tmV369YteHt7Q6lU5vt9ys7X1xezZs2Cn58f/Pz80KZNG1hYWGDbtm26ddatW4fOnTtDrVYjLS0N33zzDZYvX442bdrA29sbgwYNQv/+/bFkyZICyZQbSfcktWvX7qUnxYmiiLlz5+LLL79Ely5dAACrV6+Gs7Mztm/fjj59+hRl1AJx8EYUQmMEmFyLhIlSAZkgQBAAuUyATMj6enFbEATIZQJM5DKYKGRQ/fv14t9ymChkkMsEqb8lIiIiKiHMlHJcndbmtetptVokxCdAbaUusIvRminlBq2/a9cuWFpaQqPRQKvVom/fvpgyZQoOHz6MzMxMVKhQQW/9tLQ02Nvb626bmJigWrVqr3yO+Ph4hIeHIygoSG95UFAQQkND9ZYFBgbmeHzlypX1Xh9nZ2dUqVJFd1sul8Pe3h6RkZG6ZRs3bsSPP/6IO3fuIDExERkZGbCystLbrpeXF9Rqte62q6urbhvXrl1DWloaWrRokev3FBoaitu3b+s9HgBSU1N152T9l6GHQr5OQECA3m2FQoFevXph7dq1GDBgAJKSkrBjxw5s2LABwIs9TcnJyWjVqpXe49LT01GzZs0CzaaXq9C2/IbCwsLw9OlTtGzZUrfM2toadevWxcmTJ19aktLS0pCWlqa7HR8fD+DFXwykPpFuwtbLeJYsx/KbFwpke3KZ8KI4/VukzJRyWKjkMDeRw8JEAXMTOcxVL/5tYSL/9/aL5ZYqBWzMlLAyU8DaTAkrUyUsVXLdMbhkHLLGrNRjl4oPjhkyFMdM6aTRaCCKIrRaLbRarW65qeL1pUcUBWSYyGGmLLjPDaIo5vnDuCiKaNq0KRYuXAgTExO4ublBoXjxkTY+Ph5yuRwhISGQy/WLl6Wlpe77NTMzy/GcWa9Dbv/N/hplPSb7cjMzsxzrKBQKvWWCIOS6LGviiJMnT6Jfv36YMmUKWrduDWtra2zcuBFz5szRPUYURSiVSr1tZM+SNdnEfzNnSUhIQEBAQK6TLTg6Oub6GF9fXxw7dgxpaWmv3JskCEKO582amCHrNRNFEebm5jme5+2330azZs3w9OlT7Nu3D2ZmZmjdujW0Wq3us/zvv/+OMmXK6D1OpVLlmlmr1UIURWg0mhzjIK+/64y2JD19+hTAi9adnbOzs+6+3MyYMQNTp07NsXzv3r0wNzcv2JAGclXJYC0XIIqACED7739F8f///u9/M7QvvjTii/+K+P8vo0ytiOT0TCQjs0DyySDCTAGYKQALBWAmF2GuAMwVgKVShFoJWCoBtVL897+AmRxgryp8+/btkzoCFTMcM2QojpnSRaFQwMXFBYmJifmeYSz7ZAFFSaPRQKVSwcnJCcCL84uy+Pr6IjMzE2FhYWjQoEGOx8bHxyM1NRWiKOo+fGdJSUnRrZPF1dUVBw8e1NtjcfToUdSqVQvx8fFITEwE8OIUkuyP02g0yMjI0FuWkZGB9PR0vWVarRapqamIj4/HoUOH4OHhgdGjR+vuv337tl7WtLQ0ZGZm6m0jNTVVVyacnZ1hZmaGP/74AwMHDszx/VesWBEbN26Eqalpjj1U//3es3Tu3Bnz58/HDz/8gBEjRuS4Py4uDtbW1rCyssLFixf1tnH27FkolUrdWMnMzMzxGgBAlSpVUKZMGaxevRr79u1D586dkZKSgpSUFN2kGTdu3Mh1z1FumdPT05GSkoIjR47kmBo++3h5FaMtSfk1YcIEfPTRR7rb8fHx8PDwQOvWrXMdDEWpVSsN9u3bh1atWuX7uM6MTC3SMrRIz9QiPePff//73xRNJpLTM5GUlvHiv+mZSM7276T0DCSnvfhvYlom4lI0ui9NpggtBCRlAEkZQDQA4PXtRykXYGduAjsLE9hbmsDewgSOahWcrVRwVqvgYmUKZysVHNUqKOWcTNFQGs2bjxkqXThmyFAcM6VTamoqHj58CEtLS5iamhr0WFEUkZCQALVaLckRKEqlEgqFItfPdbVq1ULfvn0xatQozJ49GzVr1kRUVBQOHjyIqlWrokOHDjA1NYUgCDkeb2ZmBgB6y8ePH48pU6agUqVKqFGjBlauXIlLly5h3bp1sLKy0k00YGFhofe43DIqFAqYmJjoLZPJZLrCUqVKFTx69Ah//vknateujT///BN//PGHXlaVSgW5XK63DVNTU8hkMlhZWcHKygqffPIJpkyZAisrKwQFBSEqKgpXrlzB0KFDMXToUCxYsADBwcGYMmUK3N3dcf/+fWzbtg3jx4/XTSCRXfPmzTF+/Hh8+eWXiImJQdeuXeHm5obbt29jyZIlaNiwIT744AO0bdsW8+fPx/bt21G/fn2sXbsW169fR82aNaFWq5GQkAC5XJ7jNcjSr18/rFq1Cjdv3sSBAwd061hZWeHjjz/Gl19+CZVKhYYNGyIuLg4nTpyAWq3Wza6XXWpqKszMzNC4ceMc4zu3UpUboy1JWSfMRURE6E6Ay7pdo0aNlz5OpVLlOq+9Uqk0ml/+b5JFqQTMCjiPKIpI1Wj1SlP2r9jkdMQkpSMmMQ0xiS/+HZ2YhoTUDGgyRUQkpCEiIe2VzyEIgL2FCi7WWcXJFC5WpnCzMYO7rRnK2JrBxcoUChapXBnT+KXigWOGDMUxU7pkZmZCEATIZDKDzyvKOrwp6/FFLetCsi977pUrV+Lrr7/G+PHj8fjxYzg4OKBevXro1KmT3vf738fntnzMmDGIj4/H+PHjERkZiUqVKmHnzp3w8/PL8Zjsj3tZxlct69q1Kz788EN88MEHSEtLQ4cOHTBx4kRMmTJF95isUvrf58q+bNKkSVAqlZgyZQrCw8Ph6uqKESNGQCaTwdLSEkeOHMGnn36KHj16ICEhAWXKlEGLFi1gY2Pz0td01qxZCAwMxIIFC7BkyRJotVr4+PigR48eGDRoEGQyGdq1a4eJEyfis88+Q2pqKoYMGYKBAwfi0qVLuoyveu/69++Pb775Bp6enmjUqJFeAf/666/h5OSEmTNnYvjw4bCxsUGtWrXw+eef57qtrGncc/u9ltffc4JY0Gdj5ZMgCHpTgIuiCDc3N4wbNw4ff/wxgBfNz8nJCStXrszzxA3x8fGwtrZGXFyc5HuSNBoN/vzzT7Rv375E/I8oLSMTz5LSEZP4ojTFJKYjKjENEfGpiIhPxdO4VETEv7idoX39MJPLBLham8Ld1gzutuYo82+Bcrc1h7utGVytS1+JKmljhgofxwwZimOmdEpNTUVYWBjKlStn8J6krEO7rKysJClJVPwU9Zh51fjOazeQdE9SYmIibt++rbsdFhaGCxcuwM7ODmXLlsXYsWPx9ddfw9fXF+XKlcPEiRPh5uaW40JVJA2VQg5XazO4Wr9635ZWKyImKf3/5Sk+FRFxqXjy79ej58l4HJsCTaaIR89T8Oh5CoBnObajkAlwtzWDl4MFvOwt4GVvrvu3u61ZqStQRERERFQ4JC1JZ86cQbNmzXS3s84lCg4OxsqVK/HJJ58gKSkJ7777LmJjY9GwYUPs3r3b4L94kLRkMgGO6hfnJVUpY53rOlqtiMiENDyOTdYVpUfPX/z78fMUPIpNQXqGFvdiknEvJhlAlN7jFTIBHnbm8LQ3h5e9Bco5WKC8kyXKO1nCSa3irH1ERERElGeSlqSmTZu+crpHQRAwbdo0TJs2rQhTkRRkMgEu1qZwsTZFgGfO+7NKVFh0Eu7F/PsVnYR70cm4F5OEtAwtwqKTEBadhP8WKLWpAr7/FiZfJzXKO1uivKMlytiYQcZrTRERERHRfxjtxA1E2WUvUfV97PXu02pFRCSkIiw6CfdjknEvOgl3o5NwJzIR92KSkJCagXMPYnHuQaze48yUcvg4WcDXSY0KzmpUdFWjoqsV9zwRERERlXIsSVTsyWSC7tyoBj7696VlZOJedDJuRSbgVkQibkcl4nZEIsKik5CiycTlx/G4/Fh/Kkg7CxP4u7woTFn/Le9kCVMDrwZORERk7Ixk/i6iAlUQ45oliUo0lUIOPxc1/FzUesszMrV48CwZtyITcTsyEdefJuDak3jcjUrEs6R0nLgTgxN3YnTry2UCfBwt4O9ihUpuVqhaxhpV3Kxhbc6ZoIiIqPjJmskwOTlZd30gopIi64KxbzJjJ0sSlUoKuQzejpbwdrREm8r/X56qycStiERcexqPa0/icf1JAq49jUdssgY3IxJxMyIRO0PDdet72pujShlrVC1jjWplrFG5jDWszViciIjIuMnlctjY2CAyMhIAYG5unudDzbVaLdLT05GamsopwClPimrMiKKI5ORkREZGwsbGBnJ5/o8CYkkiysZUKUdVd2tUdf//LHyiKCIiPk1XnK6Ex+PSozg8eJaM+zEvvv64+ES3vqe9Oar+W5yqulujmrsNLFX8USMiIuPi4uICALqilFeiKCIlJQVmZmY8h5fypKjHjI2NjW585xc/uRG9hiD8f9KIZn5OuuWxyem4/Dgelx7H4dLjWFx6HIeHz1J0xWnXv8VJJgAVnNWoWdYWNcvaoFZZG3g7WHJmPSIikpQgCHB1dYWTkxM0Gk2eH6fRaHDkyBE0btyYFyCmPCnKMaNUKt9oD1IWliSifLIxN0FDXwc09HXQLXuelI7L4XEvitOjOFx8FIfHsSm4/jQB158mYP3pBwAAK1MFapS1RU0PG9Qsa4OaHrY8v4mIiCQhl8sN+lApl8uRkZEBU1NTliTKk+I4ZliSiAqQrYUJGvk6opGvo25ZRHwqzj+IxfmHz3H+QSwuPopFfGoGjtyMwpGb/7+mk4+jBQI8bVGnnD3qeNnBw44n0hIRERFJgSWJqJA5W5mibRUXtK3y4thYTaYWN54m4PyD5/+Wp1iERSfhTtSLr01nHv37OBUCy9rCLEmAz9MEVCpjy0P0iIiIiIoASxJREVPKZahSxhpVylhjQP0Xy54lpeP8g+c4fe8ZQsKe4dLjOETEp+GPy08ByLF5wUlYmykR6GmL2uXsUNvLDlXLWMNEwVmFiIiIiAoaSxKREbCzMEGLis5oUdEZAJCSnokLD2Nx8k4Udp+9hUcpSsSlaHDgeiQOXH8xC5GZUo7a5ezQwMceQT4OqORmBTn3NBERERG9MZYkIiNkZiJHfR97BJa1gk/KDbRq0wy3olIQcu8ZToc9Q8i9Z3ierNE7r8nKVIF63vZo4GOPBuUd4OtkyalZiYiIiPKBJYmoGFDKZajuYYPqHjYY1sgbWq2Im5EJOHE7BifuxOCfuzGIT83A3qsR2Hs1AgDgYGmC+j4Ouj1NZe3NJf4uiIiIiIoHliSiYkgmE+DvYgV/FysMaVgOGZlaXAmPx/E70Th5JwYh954hOjEdv4eG4/fQcAAvLnLb2NcRjSs4or6PPS9wS0RERPQS/JREVAIosu1pGtm0PNIyMnHhQSxO3InBiTvROP8gFvdjkrEm5j7WnLoPhUxAgKctGldwRJMKjqjkasWZ84iIiIj+xZJEVAKpFHLU9bZHXW97fNiqAhLTMnDyTsyLc5huReF+TDL+CXuGf8KeYfaeG7C3MEEjXwc0ruCIhr4OcFKbSv0tEBEREUmGJYmoFLBUKdCqkjNaVXoxe979mKR/C1M0TtyORkxSOrZfCMf2Cy8OzataxhrN/Z3QoqITqrhZcy8TERERlSosSUSlkKe9BQbUt8CA+l7QZGpx7v5zHLkVhSM3o3HpcZzua96BW3BUq9DMzxHN/Z3R0NeB5zIRERFRicdPO0SlnFIu0x2aN74NEJWQhsM3InHweiSO3IxCVEIaNp15hE1nHsFELkNdbzu08HdCc39nzphHREREJRJLEhHpcVSr0DPQAz0DPZCeoUXIvWc4cC0SB65H4H5MMo7eisbRW9GY8vtVlHeyRMuKzmhd2Rk13G14WB4RERGVCCxJRPRSJgoZgso7IKi8AyZ2rIi70Uk4+G9hCrn3HLcjE3E7MhGL/74DZysVWlVyRutKLqjnbQ8ThUzq+ERERET5wpJERHkiCAJ8HC3h42iJdxp7Iy5Fg79vRmHvlac4fCMKEfFp+PXUA/x66gHUpgq08HdCm8ouaFzBERY8j4mIiIiKEX5yIaJ8sTZTonN1N3Su7oa0jEycuBODvVeeYt/VCEQn/n+2PJVChka+Dmhd2QUtKzrDzsJE6uhEREREr8SSRERvTKWQo5mfE5r5OeHrriLOP3iOPVeeYs+VCDx4loz91yKx/1ok5DIBDXzs0b6qK9pUdmFhIiIiIqPEkkREBUouExDoZYdALzt83r4ibkQkYM/lCOy58hRXn8TrJn74cvtlNPCxR4d/C5MtCxMREREZCZYkIio0giDA38UK/i5WGNPSF/djkvDHpSf44+ITXAn/f2H64t/C1LGaK1pXYmEiIiIiabEkEVGR8bS3wMim5TGyaXnci/5/Ycq+h+mLbZfRoLwDOlZ1RZsqLrA2U0odm4iIiEoZliQikoSXgwVGNSuPUc3KIyw6CX9eeoJdF5/g2pN4HLkZhSM3o/Dl9sto5u+ILjXKoLm/E0yVcqljExERUSnAkkREkiuXrTDdjUrEn5ee4PfQJy/OZ7oSgT1XIqBWKdCmigu61iiD+j72kPPCtURERFRIWJKIyKh4O1pidHNfjG7ui+tP47H9fDh+Dw3H49gUbD77CJvPPoKjWoVO1dzQpYYbqrlbQxBYmIiIiKjgsCQRkdHyd7HCZ+2s8EkbP5y5/xw7LjzGH5eeICohDcuPh2H58TCUc7BA5+pu6FazDLwcLKSOTERERCUASxIRGT2ZTECdcnaoU84OkztVxtFbUdh+IRz7rj5FWHQS5h24hXkHbiHQ0xZvBbijQzVXWJlywgciIiLKH5YkIipWTBQytKjojBYVnZGUloG9V59i2/lwHLsVhTP3n+PM/eeYsvMK2lR2QY8AdwSVd+D5S0RERGQQliQiKrYsVAp0q+mObjXdERGfim3nH2PL2Ue4FZmInaHh2BkaDhcrU3StWQY9AsqgvJNa6shERERUDLAkEVGJ4GxlihFNfDC8sTcuPY7D5rOPsDM0HE/jU7H47ztY/PcdVPewQY9aZdCpuhtszHnBWiIiIsodSxIRlSiCIKCauw2qudvgiw4VcfBaJLace4RDN6IQ+jAWoQ9j8dUf19Cuigt61/ZAfW97zo5HREREeliSiKjEUinkaFfVFe2quiIqIQ07LjzG5rOPcP1pAnZcCMeOC+HwsjdHr9oe6BHgDie1qdSRiYiIyAiwJBFRqeCoVmFYI28MbVgOlx7HYUPIQ+y8EI57McmYtfsGvt97Ey38ndCnjgeaVHDiZA9ERESlGEsSEZUqeofjta+IPy49wcaQhzh7/zn2Xo3A3qsRcLEyRa9Ad/QM9ICHnbnUkYmIiKiIsSQRUalloVKgV6AHegV64GZEAjaGPMTWc4/wND4VPx68jfmHbqNheQf0q+uJlhWdoJDLpI5MRERERYAliYgIQAVnNSZ2rIRP2vph75UIbAx5iGO3o3H01osvFytT9KnjgbfrlIWzFc9dIiIiKslYkoiIslEp5OhU3Q2dqrvhQUwyNoQ8wMaQh3gan4q5+29h/sHbaFXRGQPqe6KBD2fGIyIiKolYkoiIXqKsvTk+aeuPMS19sfvyU6w99QCn7z3D7itPsfvKU3g7WKBv3bLoGeABa3Ol1HGJiIiogLAkERG9hkohR5caZdClRhnceJqAtf/cx9Zzj3E3Oglf/3ENs/fcQKfqbhhQzxPVPWykjktERERviCWJiMgAfi5qTOtSBZ+29cf2C4/x66kHuPYkHpvPPsLms49Q3d0ag4K80L6qK1QKudRxiYiIKB84VRMRUT5YqBToV9cTf37QEFvea4DuNcvARCFD6KM4fLgxFEHfHsLc/TcRmZAqdVQiIiIyEPckERG9AUEQEOBpiwBPW3zRoSI2hDzEmpP3dRM9LDh0Gx2ruWFQAy8eikdERFRMsCQRERUQe0sVRjUrj3cbe2PPladYcfwezt5/jm3nH2Pb+ceoWdYGgxp4oV0VV5gouCOfiIjIWLEkEREVMKVcho7V3NCxmhsuPorFyhP3sCv0Cc4/iMX5BxcwXX0N/et5om/dsnCwVEkdl4iIiP6Df8okIipE1dxtMKdXDRz/rDk+alUBjmoVIhPSMGffTTT49iA+23IRtyISpI5JRERE2bAkEREVAUe1Ch+08MXxT5tjXp8aqO5hg/QMLTaEPESrH45g8IrTOHE7GqIoSh2ViIio1OPhdkRERchEIUOXGmXQubobzt5/jmVH72Lv1QgcuhGFQzeiUMnVCu80LoeO1dyglPPvWERERFJgSSIikoAgCAj0skOglx3uRSdh+fEw/HbmEa4+iceHG0Mx868bGBTkhbfrlIW1mVLquERERKUK/0xJRCQxLwcLTOtSBScnNMf4Nn5wVKvwND4V3/51HQ1mHMDU36/g4bNkqWMSERGVGixJRERGwsbcBKOalcexT5thdo9q8HNWIyk9EyuO30OT2YcwZsN5XHsSL3VMIiKiEo+H2xERGRmVQo6egR7oEeCOo7eisezoXRy9FY0dF8Kx40I4mvk54r2m5VHbyxaCIEgdl4iIqMRhSSIiMlKCIKBxBUc0ruCIK+FxWPz3XfxxMVw3yUOApy3ea+KD5v5OkMlYloiIiAoKD7cjIioGKrtZY/7bNXHw46boW7csTOQynL3/HMNWn0G7eUex7fwjaDK1UsckIiIqEViSiIiKES8HC3zTrSqOfdoMI5r4wFKlwI2IBHy4MRRNZx/GmlMPkJ4pdUoiIqLijYfbEREVQ05WpvisnT/ea+qDX0/dx4rjYXgcm4Jpf1yHhUKOx+q7GBzkDWtzTh9ORERkKO5JIiIqxqzNlP/OiNccX3WtAndbMyRlCJh74DaCZh7E7D3X8SwpXeqYRERExQpLEhFRCWCqlGNAPU/sGxOEAeUz4edsicS0DCw4dAcNZx7EjD+vISohTeqYRERExQJLEhFRCaKQyxDoKGLnyPpYMiAAld2skJyeiSVH7qLRrIP4atdVRManSh2TiIjIqLEkERGVQDKZgDaVXbDr/YZYPigQ1T1skKrR4pdjYWg46xAm77iMJ3EpUsckIiIySixJREQlmCAIaO7vjO0jG2DVkDoI8LRFeoYWq07eR5NZh/HFtkt49DxZ6phERERGhbPbERGVAoIgoEkFRzT2dcDJOzGYd+AW/gl7hrX/PMDGkId4q5Y7Rjbzgae9hdRRiYiIJMeSRERUigiCgAblHdCgvAP+uRuD+Qdv49jtaGw88xCbzz1Ct5plMKaFLzzszKWOSkREJBmWJCKiUqqutz3qetvj7P3nmH/wFg7fiMLms4+w/fxj9Az0wPvNy8PNxkzqmEREREWO5yQREZVyAZ62WDm4DraNbIBGvg7I0IpYf/oBms4+jCk7r3A2PCIiKnVYkoiICABQs6wt1gyti03D66NuOTukZ2qx8sQ9NJp1CNP/uIqYRF5niYiISgeWJCIi0lOnnB02vFsPa4fVRa2yNkjL0GLZ0TA0mnUIs3ZfR2xyutQRiYiIChVLEhER5SAIAoLKO2DLew2wYnBtVC1jjeT0TCw8fAeNZh7C3P03EZ+qkTomERFRoWBJIiKilxIEAc38nLBzdBCWDAiAv4saCWkZmLv/FhrNPIQFh24jOT1D6phEREQFyqhLUmZmJiZOnIhy5crBzMwMPj4++OqrryCKotTRiIhKFUEQ0KayC/78oBF+6lsTPo4WiEvRYPaeG2gy+zDWnLoPTaZW6phEREQFwqinAJ85cyYWLVqEVatWoXLlyjhz5gwGDx4Ma2trfPDBB1LHIyIqdWQyAR2ruaFdFVfsuPAYP+y/iYfPUjBx+2X8fPQuPm7th45VXSGTCVJHJSIiyjejLkknTpxAly5d0KFDBwCAl5cX1q9fj9OnT0ucjIiodJPLBHSv5Y6O1dyw/vQDzD94C/djkvHB+vNY8vcdfNrWH418HSAILEtERFT8GHVJatCgAZYuXYqbN2+iQoUKCA0NxbFjxzBnzpyXPiYtLQ1paf+fpjY+Ph4AoNFooNFIe5Jx1vNLnYOKD44ZMlRRjxkBQN/aZdClmjOWn7iPX47fw5XweAxcfhr1ytliXOsKqO5uXSRZKH/4e4YMxTFDhjKmMZPXDIJoxCf4aLVafP7555g1axbkcjkyMzMxffp0TJgw4aWPmTJlCqZOnZpj+bp162Bubl6YcYmISr1EDbD3sQzHngrIFF/sRapup0WHslo4m0kcjoiISr3k5GT07dsXcXFxsLKyeul6Rl2SNmzYgPHjx2P27NmoXLkyLly4gLFjx2LOnDkIDg7O9TG57Uny8PBAdHT0K1+IoqDRaLBv3z60atUKSqVS0ixUPHDMkKGMZcw8jk3BvIN3sP1COETxxeF5PWq5YXQzH7hYmUqWi3IyljFDxQfHDBnKmMZMfHw8HBwcXluSjPpwu/Hjx+Ozzz5Dnz59AABVq1bF/fv3MWPGjJeWJJVKBZVKlWO5UqmU/E3JYkxZqHjgmCFDST1mvByV+KF3TYxoUh6z99zA/msR2HjmMbZfeILBQeUwspkPrEw5po2J1GOGih+OGTKUMYyZvD6/UU8BnpycDJlMP6JcLodWy2lmiYiKAz8XNX4ODsTmEfVR28sWaRlaLP77DprMOoRVJ+5x2nAiIjJKRl2SOnXqhOnTp+OPP/7AvXv3sG3bNsyZMwfdunWTOhoRERkg0MsOm4bXxy/BgSjvZInnyRpM3nkFbX44gr1XnvL6d0REZFSM+nC7+fPnY+LEiRg5ciQiIyPh5uaG4cOHY9KkSVJHIyIiAwmCgBYVndGkgiM2nnmIH/bdxN3oJLy75izqlLPDF+0rorqHjdQxiYiIjLskqdVqzJ07F3PnzpU6ChERFRCFXIZ+dT3Ruboblvx9F8uO3sXpsGfosuA4utRww/g2fnC35WykREQkHaM+3I6IiEoutakS49r44fD4pnirljsEAdhxIRzNv/8bM/66hvhU6a+nQUREpRNLEhERScrV2gzf96qO30c3RAMfe6RnaLHk77uc3IGIiCTDkkREREahShlrrB1WF8sH6U/u0JqTOxARURFjSSIiIqMhCAKa+ztj95hGmN6tChwsTRD27+QOA345jRtPE6SOSEREpQBLEhERGZ2syR0Oj2+GkU19YKKQ4djtaLT/8Sgm7biM50npUkckIqISjCWJiIiMlqVKgU/a+mP/h03QtrILMrUiVp+8j6bfHcbK42E8X4mIiAoFSxIRERm9svbmWDwgAOveqQt/FzXiUjSY8vtVtJ93FEdvRUkdj4iIShiWJCIiKjYa+Dhg1/sN8XXXKrA1V+JWZCIG/HIaw1adwb3oJKnjERFRCcGSRERExYpCLkP/ep44PK4ZhgSVg0ImYP+1CLT64W/M+PMaEnh9JSIiekMsSUREVCxZmysxqVMl7B7bCI0rOEKTKWLJkbto9t1hbAx5AK2WU4YTEVH+sCQREVGxVt5JjVWDa2P5oEB4O1ggOjEdn265hG4LjyP0YazU8YiIqBhiSSIiomJPd32lsY3xZYeKUKsUCH0Uh64Lj2PC1ot4xinDiYjIACxJRERUYpgoZBjWyBsHxjVB95plIIrA+tMP0fz7w1j7z31k8hA8IiLKA5YkIiIqcZzUppjTuwY2Da8Pfxc1YpM1+GLbZXRdcBznHzyXOh4RERk5liQiIiqx6pSzw673G2Jyp0pQqxS49DgO3RaewKebLyImMU3qeEREZKRYkoiIqERTyGUYHFQOB8c1xVu13AEAG888RPPv/8aak/d4CB4REeXAkkRERKWCo1qF73tVx+YR9VHR1QpxKRpM3HEFXRYcw9n7PASPiIj+jyWJiIhKlUAvO/w+OghTO1eG2lSBy4/j8daiExj/WyhnwSMiIgAsSUREVAop5DIEN/DCoXFN0SPgxSF4v519hObfH8amkIcQRR6CR0RUmrEkERFRqeVgqcJ3Patjy3v/nwXvky0X0XvJKdyKSJA6HhERSYQliYiISr0ATzv8/n5DTGjnDzOlHKfvPUP7H49i9p7rSEnPlDoeEREVMZYkIiIiAEq5DMOb+GDfR43Rwt8JmkwRCw7dQeu5f+PwjUip4xERURFiSSIiIsrG3dYcPwcHYnH/ALhYmeLhsxQMWhGCUevOITI+Vep4RERUBFiSiIiI/kMQBLSt4oL9HzfB0IblIBOAPy4+QYvv/8ZqXluJiKjEY0kiIiJ6CUuVAhM7VsLO0Q1R3d0aCWkZmLTjCrovPI7Lj+OkjkdERIWEJYmIiOg1qpSxxtaRQfiqS2WoVQqEPopD55+O4atdV5GcniF1PCIiKmAsSURERHkglwkYUN8LBz5ugo7VXKEVgV+OhaH1D0fw980oqeMREVEBYkkiIiIygJOVKX7qWwsrB9dGGRszPHqeguDlp/HRxgt4npQudTwiIioALElERET50NTPCXs/bIzBQV4QBGDr+cdoOedv7LjwGKLIiR2IiIozliQiIqJ8slApMLlTZWx9rwH8nNWISUrHmA0XMGRlCB7Hpkgdj4iI8okliYiI6A3VLGuL399viI9bVYCJXIZDN6LQes7fWHWC04UTERVHLElEREQFwEQhw/stfPHnmEao7WWLpPRMTN55BT0Xn8DNiASp4xERkQFYkoiIiApQeSdLbHy3Pr7qWgWWKgXOPYhFhx+P4od9N5GWkSl1PCIiygOWJCIiogImkwkYUM8T+z5qjJYVnaDJFDHvwC10/PEYzj14LnU8IiJ6DZYkIiKiQuJqbYZlAwOxoG8tOFia4FZkInosOoFv/ryGVA33KhERGSuWJCIiokIkCAI6VHPF/o+aoHutMtCKwNIjd9F+3lGcufdM6nhERJQLliQiIqIiYGNugjm9amD5oEA4W6lwNzoJPZecxLTfryIlnXuViIiMCUsSERFREWru74y9HzZBr0B3iCKw/HgY2s07gtNh3KtERGQsWJKIiIiKmLWZErN6VMfKwbXham2KezHJ6L30JKbsvILk9Ayp4xERlXosSURERBJp6ueEPR82Rp/aHhBFYOWJe2g79yhO3Y2ROhoRUanGkkRERCQhK1Mlvn2rGlYPqQM3a1M8eJaMPktPYdKOy0hK414lIiIpsCQREREZgcYVHLHnw8boW7csAGD1yftoM/cITtyOljgZEVHpw5JERERkJNSmSnzTrSp+HVoXZWzM8Oh5Cvr+/A8m77jMGfCIiIoQSxIREZGRaejrgD0fNkb/ei/2Kq06eR/tfzyKcw+eS5yMiKh0YEkiIiIyQpYqBb7uWhWrh9SBi5UpwqKT0GPRCczafR3pGVqp4xERlWgsSUREREascQVH7BnbGN1qloFWBBYevoMuC47j2pN4qaMREZVYLElERERGztpciR9618Di/rVgZ2GCa0/i0fmnY1h4+DYytaLU8YiIShyWJCIiomKibRVX7BnbGK0qOUOTKWLW7hvoufgEwqKTpI5GRFSisCQREREVI45qFZYOCMDsHtWgVilw7kEs2s87ijUn70EUuVeJiKggsCQREREVM4IgoGegB3Z/2BgNfOyRosnExB1XMHD5aTyJS5E6HhFRsceSREREVEyVsTHDr0PrYkqnSlApZDh6KxqtfziCrececa8SEdEbYEkiIiIqxmQyAYOCyuHPMY1Q3cMGCakZ+GhTKEavP4+4ZI3U8YiIiiWWJCIiohLAx9ESW0bUx8etKkAuE/DHxSdoO+8ITtyJljoaEVGxw5JERERUQijkMrzfwhdb3muAcg4WeBKXin4//4MZf15DWkam1PGIiIoNliQiIqISpoaHDXa93xBv1/GAKAJLjtxFtwUncCsiQepoRETFAksSERFRCWShUmBG92pYMiAAtuZKXH0Sj47zj2HVCU4VTkT0OixJREREJVibyi7YM7YxmlRwRFqGFpN3XsGgFSGITEiVOhoRkdFiSSIiIirhnKxMsXJwbUzpVAkmChn+vhmFtnOPYt/VCKmjEREZJZYkIiKiUkAQXkwVvuv9hqjoaoVnSel4Z/UZfLnjKtI4pwMRkR6WJCIiolKkgrMa20c1wLuNvSEIwMYzjzD7ohyXHsdJHY2IyGiwJBEREZUyKoUcn7eviLVD68LZSoWoVAG9lp7G0iN3oNVyUgciIpYkIiKiUqpBeQfsGtUA1e20yNCK+ObP6whecZqTOhBRqceSREREVIrZmCsxuIIWX3epBFOlDEdvRaP9vKP4+2aU1NGIiCTDkkRERFTKCQLQO9Adv49uCH8XNaIT0xG8/DS++fMa0jO0UscjIipyLElEREQEAPB1VmP7qCAMrO8JAFh65C56LD6Be9FJEicjIipaLElERESkY6qUY1qXKlg6IAA25kpcfBSHDj8exbbzj6SORkRUZFiSiIiIKIfWlV3w15hGqFPODknpmfhwYyg+2ngBiWkZUkcjIip0LElERESUK1drM6x/px4+alUBMgHYev4xOv54FBcfxUodjYioULEkERER0UvJZQI+aOGLjcPrw83aFPdikvHWohNYduQur6lERCUWSxIRERG9Vm0vO/w1pjHaVXGBJlPE9D+vYciqEDxLSpc6GhFRgWNJIiIiojyxNldiYb9amN6tClQKGQ7fiEL7eUcRcu+Z1NGIiAoUSxIRERHlmSAI6FfXE9tHBcHbwQJP41PRZ+kpLDx8m4ffEVGJke+SpNFo8PDhQ9y4cQPPnvEvSERERKVJRVcr7Hy/IbrUcEOmVsSs3TcweCUPvyOiksGgkpSQkIBFixahSZMmsLKygpeXFypWrAhHR0d4enrinXfeQUhISIEGfPz4Mfr37w97e3uYmZmhatWqOHPmTIE+BxERERnOUqXA3N418G33qlApZPj7Jg+/I6KSIc8lac6cOfDy8sKKFSvQsmVLbN++HRcuXMDNmzdx8uRJTJ48GRkZGWjdujXatm2LW7duvXG458+fIygoCEqlEn/99ReuXr2K77//Hra2tm+8bSIiInpzgiCgT52yLw6/c+Thd0RUMijyumJISAiOHDmCypUr53p/nTp1MGTIECxevBgrVqzA0aNH4evr+0bhZs6cCQ8PD6xYsUK3rFy5cm+0TSIiIip4FV2t8Pvohvhy+2VsO/8Ys3bfwD93n2FOr+qwt1RJHY+IyCB5Lknr16/P03oqlQojRozId6Dsdu7ciTZt2qBnz574+++/UaZMGYwcORLvvPPOSx+TlpaGtLQ03e34+HgAL86h0mg0BZIrv7KeX+ocVHxwzJChOGbIUAU5ZkxkwMxulVDb0wZTd13THX73Q69qqO3Fo0BKCv6eIUMZ05jJawZBFEWD9oVrNBqYmZnhwoULqFKlSr7C5ZWpqSkA4KOPPkLPnj0REhKCMWPGYPHixQgODs71MVOmTMHUqVNzLF+3bh3Mzc0LNS8RERG9EJ4ErLwlR0SKAAEi2nto0bKMCJkgdTIiKs2Sk5PRt29fxMXFwcrK6qXrGVySAMDb2xvbtm1D9erV3yjk65iYmCAwMBAnTpzQLfvggw8QEhKCkydP5vqY3PYkeXh4IDo6+pUvRFHQaDTYt28fWrVqBaVSKWkWKh44ZshQHDNkqMIcM0lpGZj8+zXsCH0CAGhU3h7f9agKOwuTAn0eKlr8PUOGMqYxEx8fDwcHh9eWpDwfbpfdF198gc8//xxr1qyBnZ1dvkO+jqurKypVqqS3rGLFitiyZctLH6NSqaBS5Tz2WalUSv6mZDGmLFQ8cMyQoThmyFCFMWZslErM7VMTQeUdMWnnZRy9HYOui05hQb9aqFWWh98Vd/w9Q4YyhjGT1+fPV0n66aefcPv2bbi5ucHT0xMWFhZ69587dy4/m80hKCgIN27c0Ft28+ZNeHp6Fsj2iYiIqHAJgoBetT1QzcMa7/16DmHRSei95CS+7FAJA+t7QhB4/B0RGZ98laSuXbsWcIzcffjhh2jQoAG++eYb9OrVC6dPn8bSpUuxdOnSInl+IiIiKhj+LlbYOToIn2y+iL8uP8XknVdw5v5zfNu9KixU+fo4QkRUaPL1W2ny5MkFnSNXtWvXxrZt2zBhwgRMmzYN5cqVw9y5c9GvX78ieX4iIiIqOGpTJRb2q4VfjoVhxl/X8XtoOK49icfi/rVQ3kktdTwiIh2j/9NNx44d0bFjR6ljEBERUQEQBAHDGnmjuocNRq09h9uRiej803HMfKsaOlV3kzoeEREAQJafB2VmZuK7775DnTp14OLiAjs7O70vIiIiolep7WWHPz5ohPre9khOz8T7689jys4rSM/QSh2NiCh/JWnq1KmYM2cOevfujbi4OHz00Ufo3r07ZDIZpkyZUsARiYiIqCRyVKuwZmgdvNfUBwCw8sQ99F56Ek/iUiRORkSlXb5K0tq1a7Fs2TJ8/PHHUCgUePvtt/Hzzz9j0qRJOHXqVEFnJCIiohJKIZfh07b+WDYwEGpTBc4/iEWHH4/h2K1oqaMRUSmWr5L09OlTVK1aFQBgaWmJuLg4AC/OH/rjjz8KLh0RERGVCq0qOWPX+w1RydUKz5LSMWD5P/jxwC1otQZf856I6I3lqyS5u7vjyZMXV8/28fHB3r17AQAhISG5XsiViIiI6HU87S2wdWQD9A70gCgCc/bdxNBVIYhL1kgdjYhKmXyVpG7duuHAgQMAgPfffx8TJ06Er68vBg4ciCFDhhRoQCIiIio9TJVyzOxRDbN6VINKIcOhG1HovOAYrj+NlzoaEZUi+ZoC/Ntvv9X9u3fv3ihbtixOnjwJX19fdOrUqcDCERERUenUK9ADlVytMHzNWdyPSUa3BScwqwenCSeiolEg10mqX78+6tevXxCbIiIiIgIAVCljjd/fb4gP1p/HsdvReH/9eVx8FItP2/pDIc/XwTBERHmSr98wMTExun8/fPgQkyZNwvjx43H06NECC0ZERERkZ2GClYNrY0STF9OELzsahoHLTyMmMU3iZERUkhlUki5dugQvLy84OTnB398fFy5cQO3atfHDDz9g6dKlaNasGbZv315IUYmIiKg0Ushl+KydPxb2qwVzEzlO3IlB55+O4+KjWKmjEVEJZVBJ+uSTT1C1alUcOXIETZs2RceOHdGhQwfExcXh+fPnGD58uN75SkREREQFpX1VV2wfFYRyDhZ4HJuCHotPYtOZh1LHIqISyKCSFBISgunTpyMoKAjfffcdwsPDMXLkSMhkMshkMrz//vu4fv16YWUlIiKiUq6CsxrbRwWhZUUnpGdo8cnmi/hy+yWkZ2iljkZEJYhBJenZs2dwcXEB8OIishYWFrC1tdXdb2tri4SEhIJNSERERJSNtZkSSwcE4sOWFSAIwK+nHuDtZacQEZ8qdTQiKiEMnrhBEIRX3iYiIiIqbDKZgDEtffFLcCDUpgqcvf8cHecfw5l7z6SORkQlgMFTgA8aNAgqlQoAkJqaihEjRsDCwgIAkJbGmWaIiIio6DT3d8bvoxti+JqzuBGRgD5LT2FK58roX89T6mhEVIwZVJKCg4P1bvfv3z/HOgMHDnyzREREREQG8HKwwNaRDfDplovYdfEJvtx+GVefxGNKp8owUfB6SkRkOINK0ooVKworBxEREVG+WagUmP92TVR2s8asPdex7p8HuBWRgEX9A+BgqZI6HhEVM/zzChEREZUIgiDgvaY+WB5cG2qVAiH3nqPz/GO4/DhO6mhEVMzkuSSNGDECjx49ytO6GzduxNq1a/MdioiIiCi/mvk7YfvoIHg7WCA8LhU9Fp/AztBwqWMRUTGS58PtHB0dUblyZQQFBaFTp04IDAyEm5sbTE1N8fz5c1y9ehXHjh3Dhg0b4ObmhqVLlxZmbiIiIqKX8nG0xLZRQRiz4TwO34jCB+vP49qTeIxr7Qe5jDPzEtGr5XlP0ldffYWbN28iKCgICxcuRL169VC2bFk4OTnBz88PAwcOxN27d7F06VKcOnUK1apVK8zcRERERK9kbabEL8G1MaKJDwBg0eE7eGf1GcSnaiRORkTGzqCJG5ydnfHFF1/giy++wPPnz/HgwQOkpKTAwcEBPj4+vGYSERERGRW5TMBn7fxR0VWNTzZfxMHrkei64Dh+HhgIb0dLqeMRkZEy+DpJWWxtbWFra1uQWYiIiIgKRZcaZeDtYIl315zB3agkdFlwHD++XRPN/JykjkZERoiz2xEREVGpUNXdGjtHN0Sgpy0SUjMwZGUIlvx9B6IoSh2NiIwMSxIRERGVGo5qFda9Uw9v1/GAKAIz/rqOsRsvIFWTKXU0IjIiLElERERUqpgoZPimW1V81bUKFDIBOy6Eo/eSk4iMT5U6GhEZCZYkIiIiKnUEQcCAep5YM7QubMyVCH0Uhy4LjvPCs0QE4A1KUkZGBvbv348lS5YgISEBABAeHo7ExMQCC0dERERUmOr72GP7yCD4OFrgSVwqei4+id2Xn0gdi4gklq+SdP/+fVStWhVdunTBqFGjEBUVBQCYOXMmxo0bV6ABiYiIiAqTl4MFto0KQuMKjkjRZGLEr+fw08FbnNCBqBTLV0kaM2YMAgMD8fz5c5iZmemWd+vWDQcOHCiwcERERERFwcpUieXBgRjUwAsA8N3em/iQEzoQlVr5uk7S0aNHceLECZiYmOgt9/LywuPHjwskGBEREVFRUshlmNK5MnydLTF5xxVsvxCOezHJWDowAE5qU6njEVERyteeJK1Wi8zMnH9ZefToEdRq9RuHIiIiIpJKv7qeWD2kDqzNlLjwMBZdfzqOK+Gc0IGoNMlXSWrdujXmzp2ruy0IAhITEzF58mS0b9++oLIRERERSaJBeQdsHxUEbwcLhMeloseik9hz5anUsYioiOSrJH333Xc4fvw4KlWqhNTUVPTt21d3qN3MmTMLOiMRERFRkSvnYIFtI4PQsLwDUjSZGL7mLBYcus0JHYhKgXydk+Th4YHQ0FBs3LgRoaGhSExMxNChQ9GvXz+9iRyIiIiIijNrcyVWDK6Nr3ZdxeqT9zF7zw3cjkzEjO5VYaqUSx2PiAqJwSVJo9HA398fu3btQr9+/dCvX7/CyEVERERkFJRyGaZ1qYLyTpaY+vtVbDv/GPdjkrBsYCDsLVVSxyOiQmDw4XZKpRKpqamFkYWIiIjIaA2s74WVg2vDylSBcw9i0W3hCdyOTJQ6FhEVgnydkzRq1CjMnDkTGRkZBZ2HiIiIyGg18nXE1pFB8LAzw4Nnyei+8DhO3I6WOhYRFbB8nZMUEhKCAwcOYO/evahatSosLCz07t+6dWuBhCMiIiIyNuWdLLF9ZBDeWX0G5x7EYuDy0/ime1X0CvSQOhoRFZB8lSQbGxu89dZbBZ2FiIiIqFiwt1Rh3Tv1MO63UOy6+ASfbL6Ie9FJGNfaDzKZIHU8InpD+SpJK1asKOgcRERERMWKqVKOH/vUhJe9BX46dBsLD9/B/WfJ+L5ndc58R1TM5eucJCIiIiICZDIB49r4YXaPalDKBfxx8Qn6LjuFmMQ0qaMR0RvI156kcuXKQRBeviv57t27+Q5EREREVNz0DPSAu605hq95cZ5S14XHsWJQbZR3UksdjYjyIV8laezYsXq3NRoNzp8/j927d2P8+PEFkYuIiIioWKnvY49to4IweEUIHjxLRreFJ7CkfwAalHeQOhoRGShfJWnMmDG5Ll+wYAHOnDnzRoGIiIiIiisfR0tsG9kA7645i7P3n7+Y+a5bVfSqzZnviIqTAj0nqV27dtiyZUtBbpKIiIioWLG3VGHtsLroXN0NGVoRn2y5iFm7r0OrFaWORkR5VKAlafPmzbCzsyvITRIREREVO6ZKOeb1qYEPmpcHACw8fAcfbDiPVE2mxMmIKC/ydbhdzZo19SZuEEURT58+RVRUFBYuXFhg4YiIiIiKK0EQ8FFrP5S1t8CErRex6+ITRCakYemAANiYm0gdj4heIV8lqWvXrnq3ZTIZHB0d0bRpU/j7+xdELiIiIqISoUeAO9ysTTF8zVmcDnuGtxadwMrBdeBhZy51NCJ6iXyVpMmTJxd0DiIiIqISq0F5B/z2Xn0MXhGCO1FJ6L7oBJYH10ZVd2upoxFRLvJ1TtK5c+dw6dIl3e0dO3aga9eu+Pzzz5Genl5g4YiIiIhKCn8XK2wbGQR/FzWiEtLQe+lJHLoeKXUsIspFvkrS8OHDcfPmTQAvLhzbu3dvmJub47fffsMnn3xSoAGJiIiISgoXa1P8NqI+Gvk6IDk9E8NWn8H60w+kjkVE/5GvknTz5k3UqFEDAPDbb7+hSZMmWLduHVauXMkpwImIiIheQW2qxPJBtdEjwB2ZWhETtl7Cd3tuQBQ5RTiRschXSRJFEVqtFgCwf/9+tG/fHgDg4eGB6OjogktHREREVAIp5TLM7lENY1r4AgB+OnQbH28KRXqGVuJkRATksyQFBgbi66+/xpo1a/D333+jQ4cOAICwsDA4OzsXaEAiIiKikkgQBHzYqgJmvVUNcpmArecfY/DK04hP1UgdjajUy1dJmjt3Ls6dO4fRo0fjiy++QPnyLy6UtnnzZjRo0KBAAxIRERGVZL1qe2D5oNqwMJHj+O0Y9Fx0EuGxKVLHIirV8jUFeLVq1fRmt8sye/ZsyOXyNw5FREREVJo0qeCITSNeTBF+IyIB3ReewPJBtVHJzUrqaESlUr72JD18+BCPHj3S3T59+jTGjh2L1atXQ6lUFlg4IiIiotKisps1to0KQgVnSzyNT0WvJSdx/DbP9SaSQr5KUt++fXHo0CEAwNOnT9GqVSucPn0aX3zxBaZNm1agAYmIiIhKizI2ZvhtRAPU87ZDYloGBq04jZ2h4VLHIip18lWSLl++jDp16gAANm3ahCpVquDEiRNYu3YtVq5cWZD5iIiIiEoVazMlVg2pgw7VXKHJFPHB+vP45ViY1LGISpV8lSSNRgOVSgXgxRTgnTt3BgD4+/vjyZMnBZeOiIiIqBRSKeSY36cmBjXwAgB8tesqZvx5DVotr6VEVBTyVZIqV66MxYsX4+jRo9i3bx/atm0LAAgPD4e9vX2BBiQiIiIqjWQyAZM7VcKnbf0BAEuO3MW430KhyeS1lIgKW75K0syZM7FkyRI0bdoUb7/9NqpXrw4A2Llzp+4wPCIiIiJ6M4Ig4L2mPviuZ3XdtZSGrjqDpLQMqaMRlWj5mgK8adOmiI6ORnx8PGxtbXXL3333XZibmxdYOCIiIiICegS4w97SBCN/PYcjN6Pw9rJTWD6oNhwsVVJHIyqR8rUnCQBEUcTZs2exZMkSJCQkAABMTExYkoiIiIgKQTM/J6x/tx7sLExw8VEceiw6gQcxyVLHIiqR8lWS7t+/j6pVq6JLly4YNWoUoqKiALw4DG/cuHEFGpCIiIiIXqjhYYPNI+rD3dYM92KS0X3RcVx+HCd1LKISJ18lacyYMQgMDMTz589hZmamW96tWzccOHCgwMIRERERkT5vR0tsHdkAlVytEJ2Yjt5LTuLYLV50lqgg5askHT16FF9++SVMTEz0lnt5eeHx48cFEoyIiIiIcuekNsXG4fXQwMceSemZGLzyNHZc4GcwooKSr5Kk1WqRmZmZY/mjR4+gVqvfOBQRERERvZraVIkVg2uj478XnR2z4QJ+PnpX6lhEJUK+SlLr1q0xd+5c3W1BEJCYmIjJkyejffv2BZWNiIiIiF5BpZDjxz41MTjICwDw9R/XMHP3dYgiLzpL9CbyVZK+++47HD9+HJUqVUJqair69u2rO9Ru5syZBZ2RiIiIiF5CJhMwqeP/Lzq76PAdTNh6CZlaFiWi/MrXdZI8PDwQGhqKjRs3IjQ0FImJiRg6dCj69eunN5EDERERERW+rIvO2por8fm2S9gQ8hCxyRrM7VMDpkq51PGIih2DS5JGo4G/vz927dqFfv36oV+/foWRi4iIiIgM1KdOWdiYK/HB+gvYfeUphqwMwdKBgbBU5evv4kSllsGH2ymVSqSmphZGltf69ttvIQgCxo4dK8nzExERERm7tlVcsXJwbViYyHHiTgz6LjuFmMQ0qWMRFSv5Oidp1KhRmDlzJjIyMgo6z0uFhIRgyZIlqFatWpE9JxEREVFx1KC8A9a/Ww92Fia4+CgOPZecxOPYFKljERUb+SpJISEh2Lp1K8qWLYs2bdqge/fuel8FLTExEf369cOyZctga2tb4NsnIiIiKmmqudtg0/D6cLM2xd2oJPRYdAK3IxOkjkVULOTrAFUbGxu89dZbBZ3lpUaNGoUOHTqgZcuW+Prrr1+5blpaGtLS/r9LOT4+HsCLc6k0Gk2h5nydrOeXOgcVHxwzZCiOGTIUx0zJ5mmrwoZ36mDQyrO4G52EnotPYtmAWqjubp3vbXLMkKGMaczkNYMgGvlE+hs2bMD06dMREhICU1NTNG3aFDVq1NC7TlN2U6ZMwdSpU3MsX7duHczNzQs5LREREZHxSdQAS67J8SBJgIlMxDA/LfxsjPojIFGhSE5ORt++fREXFwcrK6uXrmdQSdJqtZg9ezZ27tyJ9PR0tGjRApMnTy60ab8fPnyIwMBA7Nu3T3cu0utKUm57kjw8PBAdHf3KF6IoaDQa7Nu3D61atYJSqZQ0CxUPHDNkKI4ZMhTHTOmRmJaBUesv4MSdZ1DKBXzfoyraVXExeDscM2QoYxoz8fHxcHBweG1JMuhwu+nTp2PKlClo2bIlzMzMMG/ePERGRmL58uVvHDg3Z8+eRWRkJGrVqqVblpmZiSNHjuCnn35CWloa5HL9uf9VKhVUKlWObSmVSsnflCzGlIWKB44ZMhTHDBmKY6bks1UqsWJwHXy48QL+vPQUYzZdREK6Fv3qeuZrexwzZChjGDN5fX6DStLq1auxcOFCDB8+HACwf/9+dOjQAT///DNksnzNAfFKLVq0wKVLl/SWDR48GP7+/vj0009zFCQiIiIiejmVQo75b9eCjfllrPvnAb7YdhmxyRqMbOoDQRCkjkdkNAwqSQ8ePED79u11t1u2bAlBEBAeHg53d/cCD6dWq1GlShW9ZRYWFrC3t8+xnIiIiIheTy4TML1rFdiZm+CnQ7cxe88NxKdq8FlbfxYlon8ZtPsnIyMDpqamesuUSqVRzFRBRERERHkjCALGtfHD5+39AQBL/r6LL7dfhlbLyRyIAAP3JImiiEGDBumd85OamooRI0bAwsJCt2zr1q0Fl/A/Dh8+XGjbJiIiIipN3m3sA0uVEl9sv4S1/zxAUloGZvesDqW84E+jICpODCpJwcHBOZb179+/wMIQERERUdHqW7csLFRyfLQpFNsvhCMpPRPz364JUyXP/abSy6CStGLFisLKQUREREQS6VKjDCxMFBi57hz2XY3AsFVnsHRgAMxNDPqoSFRicF8qEREREaFlJWesHFQb5iZyHLsdjQG/nEZcCs87p9KJJYmIiIiIAAANyjvg12F1YWWqwNn7z/H20lOITkyTOhZRkWNJIiIiIiKdWmVtseHd+nCwNMHVJ/HoteQknsSlSB2LqEixJBERERGRnkpuVtg0vD7crE1xNyoJPRadxL3oJKljERUZliQiIiIiysHb0RK/vdcAXvbmeBybgp5LTuLG0wSpYxEVCZYkIiIiIspVGRszbBpRH/4uakQlpKH30pO4+ChO6lhEhY4liYiIiIheykltig3v1kN1DxvEJmswcOUZ3GZPohKOJYmIiIiIXsnG3ARrh9VFfW97JKVlYvE1OQ7fjJI6FlGhYUkiIiIioteyVCmwYnBtNK3gAI0oYOS6C9h9+anUsYgKBUsSEREREeWJqVKOhX1roKa9FppMEaPWncPO0HCpYxEVOJYkIiIiIsozpVyGAb5adK3uikytiLEbzmPz2UdSxyIqUCxJRERERGQQuQDM7F4FfWp7QCsC434Lxbp/Hkgdi6jAsCQRERERkcFkMgHfdKuK4PqeAIDPt13CiuNhEqciKhgsSURERESULzKZgCmdK+Pdxt4AgKm/X8Xiv+9InIrozbEkEREREVG+CYKACe388UHz8gCAb/+6jnn7b0EURYmTEeUfSxIRERERvRFBEPBRaz+Ma10BAPDD/puYvecGixIVWyxJRERERFQgRjf3xZcdKgIAFh6+g6//uMaiRMUSSxIRERERFZhhjbzxVZfKAIBfjoVh4o7L0GpZlKh4YUkiIiIiogI1oL4XZr5VFYIA/HrqAT7behGZLEpUjLAkEREREVGB6127LOb0qg6ZAGw68wgfbbqAjEyt1LGI8oQliYiIiIgKRbea7pj/di0oZAJ2XAjH++vPIz2DRYmMH0sSERERERWaDtVcsah/AEzkMvx1+SlGrj2LtIxMqWMRvRJLEhEREREVqlaVnLF0YABUChn2X4vEiDVnkaphUSLjxZJERERERIWuqZ8Tlg+qDVOlDIduRGHEryxKZLxYkoiIiIioSASVd9AVpcM3ovAu9yiRkWJJIiIiIqIi08DHASsG1YGZUo4jN6PwzuozLEpkdFiSiIiIiKhI1fexx8rBtWFuIsfRW9EYtuoMUtJZlMh4sCQRERERUZGr622PlYPrwNxEjmO3ozF0VQiLEhkNliQiIiIikkSdcnZYNaQOLEzkOHEnBkNWhiA5PUPqWEQsSUREREQkndpedlg9tA4sVQqcvBuDwStYlEh6LElEREREJKkAzxd7lCxVCvwT9gyDVoQgKY1FiaTDkkREREREkgvwtMWaoXWgVilwOuwZBq04jUQWJZIISxIRERERGYWaZW2xZlhdqE0VCLn3HMHLTyMhVSN1LCqFWJKIiIiIyGjU8LDB2mF1YWWqwNn7LEokDZYkIiIiIjIq1dxtsHZYPVibKXHuQSwGLj+NeBYlKkIsSURERERkdKq6W2PtsLqwNlPi/INYDPiFRYmKDksSERERERmlKmVeFCUbcyVCH8by0DsqMixJRERERGS0sopS1h6lQStCOOsdFTqWJCIiIiIyapXdrPUmcxjCC85SIWNJIiIiIiKjV6WMNdYMrfviOkr3nmHIyhCkpGdKHYtKKJYkIiIiIioWqnvYYNXQOrBUKXDq7jMMWx2CVA2LEhU8liQiIiIiKjZqlbXFqiG1YWEix/HbMXhn9RkWJSpwLElEREREVKwEeNphxeA6MFPKcfRWNEb8ehZpGSxKVHBYkoiIiIio2KlTzg7LB9WGqVKGwzeiMPLXc0jP0Eodi0oIliQiIiIiKpbq+9hjeXBtqBQyHLgeiVHrWJSoYLAkEREREVGx1aC8A34ODoSJQoZ9VyPwwfrz0GSyKNGbYUkiIiIiomKtka8jlg4IgIlcht1XnmLshgvIYFGiN8CSRERERETFXlM/JyweUAtKuYA/Lj3Bh5tCWZQo31iSiIiIiKhEaO7vjIX9AqCQCfg9NBzjN19EplaUOhYVQyxJRERERFRitKrkjJ/61oJCJmDb+cf4ZPNFaFmUyEAsSURERERUorSt4oIf364JuUzAlnOP8MX2yxBFFiXKO5YkIiIiIipx2ld1xQ+9a0AmAOtPP8DU36+yKFGesSQRERERUYnUubobZr5VDQCw8sQ9zNpzg0WJ8oQliYiIiIhKrJ6BHviqaxUAwKLDdzD/4G2JE1FxwJJERERERCXagHqe+LJDRQDAnH03sfTIHYkTkbFjSSIiIiKiEm9YI2+Ma10BAPDNn9ex5uQ9aQORUWNJIiIiIqJSYXRzX4xq5gMAmLjjCjaFPJQ4ERkrliQiIiIiKjXGtfbD0IblAACfbr2IHRceS5yIjBFLEhERERGVGoIg4MsOFdGvblmIIvDRplDsvvxU6lhkZFiSiIiIiKhUEQQBX3WpgrdquSNTK+L99edw6Hqk1LHIiLAkEREREVGpI5MJmNWjGjpWc4UmU8TwX8/i+O1oqWORkWBJIiIiIqJSSS4T8EPvGmhVyRnpGVoMW3UGZ+49kzoWGQGWJCIiIiIqtZRyGX7qWxONfB2QosnEoBUhCH0YK3UskhhLEhERERGVaiqFHEsHBKKetx0S0zIwcPlpXA2PlzoWSYgliYiIiIhKPTMTOX4Oro1aZW0Ql6LBgF/+we3IBKljkURYkoiIiIiIAFiqFFgxuA6qlLFCTFI6+v98Gg+fJUsdiyTAkkRERERE9C9rMyVWD6kLXydLPI1PRf9f/kFkfKrUsaiIsSQREREREWVjZ2GCX4fVhYedGe7HJGPAL6cRm5wudSwqQixJRERERET/4WxlirVD68HZSoUbEQkIXhGCxLQMqWNREWFJIiIiIiLKRVl7c/w6tC5szZUIfRiLYatCkKrJlDoWFQGWJCIiIiKil/B1VmPVkDqwVClw6u4zjFp7DppMrdSxqJAZdUmaMWMGateuDbVaDScnJ3Tt2hU3btyQOhYRERERlSLV3G3wS3AgVAoZDlyPxMebQpGpFaWORYXIqEvS33//jVGjRuHUqVPYt28fNBoNWrdujaSkJKmjEREREVEpUtfbHov7B0AhE7AzNBxfbr8MUWRRKqkUUgd4ld27d+vdXrlyJZycnHD27Fk0btxYolREREREVBo183fC3D418MH681h/+gGsTBX4rJ0/BEGQOhoVMKMuSf8VFxcHALCzs3vpOmlpaUhLS9Pdjo+PBwBoNBpoNJrCDfgaWc8vdQ4qPjhmyFAcM2QojhkyVGkfM20qOuLrLpXw+farWHLkLixMZHivibfUsYyaMY2ZvGYQxGKyn1Cr1aJz586IjY3FsWPHXrrelClTMHXq1BzL161bB3Nz88KMSERERESlxKFwAdvvywEAb3llorFrsfhIXeolJyejb9++iIuLg5WV1UvXKzYl6b333sNff/2FY8eOwd3d/aXr5bYnycPDA9HR0a98IYqCRqPBvn370KpVKyiVSkmzUPHAMUOG4pghQ3HMkKE4Zv5v3oHb+OnwXQDArO5V0K2mm8SJjJMxjZn4+Hg4ODi8tiQVi8PtRo8ejV27duHIkSOvLEgAoFKpoFKpcixXKpWSvylZjCkLFQ8cM2QojhkyFMcMGYpjBvi4jT+SNFqsOH4Pn227DCtzFdpWcZE6ltEyhjGT1+c36tntRFHE6NGjsW3bNhw8eBDlypWTOhIREREREQBAEARM7FAJPQPcoRWBD9afx9FbUVLHogJg1CVp1KhR+PXXX7Fu3Tqo1Wo8ffoUT58+RUpKitTRiIiIiIggkwn49q1qaF/VBemZWry7+izO3n8mdSx6Q0ZdkhYtWoS4uDg0bdoUrq6uuq+NGzdKHY2IiIiICAAglwmY27smmlRwRIomE4NXhODG0wSpY9EbMOqSJIpirl+DBg2SOhoRERERkY6JQobF/QMQ4GmL+NQMDPjlHzx8lix1LMonoy5JRERERETFhZmJHMuDa8PPWY3IhDQM+OUfRCWkvf6BZHRYkoiIiIiICoi1uRKrh9aBu60Z7sUkI3j5acSnSn8RVTIMSxIRERERUQFytjLFr0PrwsHSBFefxGPYqjNI1WRKHYsMwJJERERERFTAvBwssHJwHahVCpwOe4bR684jI1MrdSzKI5YkIiIiIqJCUKWMNZYFB8JEIcP+axH4bOsliKIodSzKA5YkIiIiIqJCUs/bHgv61oJcJmDz2UeY8dd1qSNRHrAkEREREREVolaVnPFt96oAgKVH7mLx33ckTkSvw5JERERERFTIegZ64Iv2FQEA3/51HRtDHkiciF6FJYmIiIiIqAi809gbI5r4AAAmbL2E3ZefSpyIXoYliYiIiIioiHza1g+9Az2gFYEP1p/HiTvRUkeiXLAkEREREREVEUEQML1bFbSp7Iz0TC3eXX0Wlx7FSR2L/oMliYiIiIioCCnkMszrUxP1ve2RmJaB4BWncScqUepYlA1LEhERERFRETNVyrF0YACqlLHCs6R0DPzlNJ7EpUgdi/7FkkREREREJAG1qRIrB9eBt4MFHsemIHj5acQla6SORWBJIiIiIiKSjIOlCquH1oGzlQo3IxIxbHUIUjWZUscq9ViSiIiIiIgk5G5rjlVD6kBtqkDIvef4YP15ZGpFqWOVaixJREREREQS83exwrKBgTCRy7D3agQm7rgMUWRRkgpLEhERERGREajnbY+5fWpAEIB1/zzAjwduSx2p1GJJIiIiIiIyEu2rumJa58oAgB/238T60w8kTlQ6sSQRERERERmRAfW9MLpZeQDAF9suYe+VpxInKn1YkoiIiIiIjMzHrSugV6A7tCLw/vrzOHPvmdSRShWWJCIiIiIiIyMIAr7pVhUt/J2QlqHF0FVncCsiQepYpQZLEhERERGREVLIZfipby3ULGuDuBQNBi4/jSdxKVLHKhVYkoiIiIiIjJSZiRzLg2vD29ECT+JSEbz8NOKSNVLHKvFYkoiIiIiIjJithQlWD6kDZysVbkYk4p3VZ5CqyZQ6VonGkkREREREZOTcbc2xakgdqE0VOH3vGcZsOI9MLS82W1hYkoiIiIiIigF/FyssGxgIE4UMe65EYOKOyxBFFqXCwJJERERERFRM1PO2x7zeNSAIwLp/HuDHA7eljlQisSQRERERERUj7aq6YlrnygCAH/bfxPrTDyROVPKwJBERERERFTMD6nthdLPyAIAvt1/GwesREicqWViSiIiIiIiKoY9bV0DPAHdkakWMWnseFx/FSh2pxGBJIiIiIiIqhgRBwDfdq6KRrwNSNJkYsjIED2KSpY5VIrAkEREREREVU0q5DAv71UIlVytEJ6Zj0IrTeJ6ULnWsYo8liYiIiIioGFObKrFicG2UsTHD3egkDOPFZt8YSxIRERERUTHnbGWKFYNrw8pUgbP3n+PDjRd4sdk3wJJERERERFQCVHBWY+nAQJjIZfjr8lNM/+Oa1JGKLZYkIiIiIqISop63Pb7rVR0AsPx4GH4+elfiRMUTSxIRERERUQnSubobJrTzBwBM//Ma/rj4ROJExQ9LEhERERFRCfNuY28E1/eEKAIfbrqAkHvPpI5UrLAkERERERGVMIIgYFKnymhdyRnpGVoMW3UGtyMTpY5VbLAkERERERGVQHKZgHl9aqJmWRvEpWgQvPw0IhNSpY5VLLAkERERERGVUGYmcvw8MBBe9uZ4HJuCIStDkJSWIXUso8eSRERERERUgtlbqrBqSB3YW5jg8uN4jFp3DhmZWqljGTWWJCIiIiKiEs7T3gK/DKoNU6UMh29E4cvtlyGKvNjsy7AkERERERGVAjU8bDD/7VqQCcCGkIeYf/C21JGMFksSEREREVEp0aqSM6Z2qQIAmLPvJradfyRxIuPEkkREREREVIoMqOeJ4U28AQCfbL6IU3djJE5kfFiSiIiIiIhKmU/b+KN9VRdoMkUMX3MWd6J4DaXsWJKIiIiIiEoZmUzAnF41dNdQGrwiBDGJaVLHMhosSUREREREpZCpUo5lAwPhYWeGB8+SMWz1GaRqMqWOZRRYkoiIiIiISikHSxVWDKoDazMlzj+IxUebLkCr5dTgLElERERERKVYeSdLLBkQAKVcwJ+XnmLmnutSR5IcSxIRERERUSlXz9ses3pUAwAs+fsu1v3zQOJE0mJJIiIiIiIidKvpjrEtfQEAE3dcxuEbkRInkg5LEhERERERAQDGtPBF91plkKkVMXrdeVx7Ei91JEmwJBEREREREQBAEAR8270a6nnbITEtA0NWhiAiPlXqWEWOJYmIiIiIiHRMFDIs6R8IH0cLPIlLxZCVIUhKy5A6VpFiSSIiIiIiIj3W5kqsGFQH9hYmuBIej/fXn0dGplbqWEWGJYmIiIiIiHIoa2+OZcGBUClkOHg9EtN2XYUolo5rKLEkERERERFRrmqVtcUPvWsAAFafvI9fjoVJG6iIsCQREREREdFLta/qignt/AEA0/+8ht2Xn0qcqPCxJBERERER0Su929gbfeuWhSgCYzeex6VHcVJHKlQsSURERERE9EqCIGBa58poXMERqRothq4KwZO4FKljFRqWJCIiIiIiei2FXIaf+taEr5MlIhPSMHTlmRI7NThLEhERERER5YmVqRLLB9WGvYUJrj6Jx5gNF5CpLXkz3rEkERERERFRnnnYmWPpwECYKGTYfy0CM3dflzpSgWNJIiIiIiIigwR42mJ2j2oAgKVH7mLD6QcSJypYLElERERERGSwLjXKYEwLXwDAl9sv48TtaIkTFRyWJCIiIiIiypexLX3RubobMrQiRvx6FneiEqWOVCBYkoiIiIiIKF8EQcCsHtVQq6wN4lMzMGRlCJ4npUsd642xJBERERERUb6ZKuVYMiAQZWzMcD8mGcN/PYv0DK3Usd4ISxIREREREb0RR7UKywfVhqVKgdNhz/D5tksQxeI7NThLEhERERERvTE/FzV+6lsTMgHYfPYRFv19R+pI+VYsStKCBQvg5eUFU1NT1K1bF6dPn5Y6EhERERER/UdTPydM7lQZADBr9w3svvxE4kT5Y/QlaePGjfjoo48wefJknDt3DtWrV0ebNm0QGRkpdTQiIiIiIvqP4AZeCK7vCQAYu/ECLj2OkziR4Yy+JM2ZMwfvvPMOBg8ejEqVKmHx4sUwNzfH8uXLpY5GRERERES5mNixEpr6OSJVo8WItRcQmyZ1IsMopA7wKunp6Th79iwmTJigWyaTydCyZUucPHky18ekpaUhLe3/70J8fDwAQKPRQKPRFG7g18h6fqlzUPHBMUOG4pghQ3HMkKE4Ziiv5vSoit7L/sGtyCQsvS5Hl9Q0WEicKa/j1qhLUnR0NDIzM+Hs7Ky33NnZGdevX8/1MTNmzMDUqVNzLN+7dy/Mzc0LJaeh9u3bJ3UEKmY4ZshQHDNkKI4ZMhTHDOXF22WAebFyNHLR4u+DB6SOg+Tk5DytZ9QlKT8mTJiAjz76SHc7Pj4eHh4eaN26NaysrCRM9qK57tu3D61atYJSqZQ0CxUPHDNkKI4ZMhTHDBmKY4YM1aVtKo4dPmgUYybrKLPXMeqS5ODgALlcjoiICL3lERERcHFxyfUxKpUKKpUqx3KlUin5m5LFmLJQ8cAxQ4bimCFDccyQoThmKK+s/j2YyxjGTF6f36gnbjAxMUFAQAAOHPj/rjmtVosDBw6gfv36EiYjIiIiIqKSyqj3JAHARx99hODgYAQGBqJOnTqYO3cukpKSMHjwYKmjERERERFRCWT0Jal3796IiorCpEmT8PTpU9SoUQO7d+/OMZkDERERERFRQTD6kgQAo0ePxujRo6WOQUREREREpYBRn5NERERERERU1FiSiIiIiIiIsmFJIiIiIiIiyoYliYiIiIiIKBuWJCIiIiIiomxYkoiIiIiIiLJhSSIiIiIiIsqGJYmIiIiIiCgbliQiIiIiIqJsWJKIiIiIiIiyYUkiIiIiIiLKhiWJiIiIiIgoG5YkIiIiIiKibBRSByhsoigCAOLj4yVOAmg0GiQnJyM+Ph5KpVLqOFQMcMyQoThmyFAcM2QojhkylDGNmaxOkNURXqbEl6SEhAQAgIeHh8RJiIiIiIjIGCQkJMDa2vql9wvi62pUMafVahEeHg61Wg1BECTNEh8fDw8PDzx8+BBWVlaSZqHigWOGDMUxQ4bimCFDccyQoYxpzIiiiISEBLi5uUEme/mZRyV+T5JMJoO7u7vUMfRYWVlJPkCoeOGYIUNxzJChOGbIUBwzZChjGTOv2oOUhRM3EBERERERZcOSRERERERElA1LUhFSqVSYPHkyVCqV1FGomOCYIUNxzJChOGbIUBwzZKjiOGZK/MQNREREREREhuCeJCIiIiIiomxYkoiIiIiIiLJhSSIiIiIiIsqGJYmIiIiIiCgblqQitGDBAnh5ecHU1BR169bF6dOnpY5ERmDGjBmoXbs21Go1nJyc0LVrV9y4cUNvndTUVIwaNQr29vawtLTEW2+9hYiICIkSk7H59ttvIQgCxo4dq1vGMUP/9fjxY/Tv3x/29vYwMzND1apVcebMGd39oihi0qRJ+F97dx8UZdW/AfwCFnABERFhRcXwJfANRRAETLZkFDTCmEEjNCSSUlTAMTUV02l8bbLUfNfUGUmUTEEmMlJZQRERRUUQMDXIIFLEV0Bgz++Pxvu3K0hYPizPw/WZuWfYc87eey3znYEvZ++bbt26QS6Xw8fHB8XFxTpMTLrU0NCA2NhY2NvbQy6Xo0+fPvjss8+geb8v1kz7dvLkSfj7+8PW1hZ6eno4fPiw1nxL6qOyshIhISEwNzeHhYUFwsPD8fDhw1Z8F8/HJqmV7N+/H3PmzMGnn36K8+fPY8iQIRg7diwqKip0HY10TKVSITIyEmfOnEFqairq6uowZswYPHr0SFoTExODI0eOICEhASqVCr///jsCAwN1mJraiuzsbGzduhVOTk5a46wZ0nT37l14eXnB0NAQKSkpyM/PxxdffIHOnTtLa9asWYP169djy5YtyMrKgqmpKcaOHYuamhodJiddWb16NTZv3oyvv/4aBQUFWL16NdasWYMNGzZIa1gz7dujR48wZMgQbNy4scn5ltRHSEgIrly5gtTUVCQnJ+PkyZOIiIhorbfQPEGtws3NTURGRkqPGxoahK2trVi5cqUOU1FbVFFRIQAIlUolhBCiqqpKGBoaioSEBGlNQUGBACAyMzN1FZPagAcPHoh+/fqJ1NRU4e3tLaKiooQQrBlqbP78+WLkyJHPnVer1UKhUIjPP/9cGquqqhLGxsZi3759rRGR2pjx48eL999/X2ssMDBQhISECCFYM6QNgDh06JD0uCX1kZ+fLwCI7OxsaU1KSorQ09MTt27darXsz8OdpFbw5MkT5OTkwMfHRxrT19eHj48PMjMzdZiM2qJ79+4BACwtLQEAOTk5qKur06ofR0dH2NnZsX7aucjISIwfP16rNgDWDDWWlJQEV1dXBAUFwdraGs7Ozti+fbs0f+PGDZSXl2vVTKdOneDu7s6aaac8PT1x7NgxFBUVAQAuXryIjIwM+Pn5AWDNUPNaUh+ZmZmwsLCAq6urtMbHxwf6+vrIyspq9czPkuk6QHtw+/ZtNDQ0wMbGRmvcxsYGV69e1VEqaovUajWio6Ph5eWFQYMGAQDKy8thZGQECwsLrbU2NjYoLy/XQUpqC+Lj43H+/HlkZ2c3mmPN0LOuX7+OzZs3Y86cOVi4cCGys7Mxe/ZsGBkZITQ0VKqLpn5OsWbapwULFuD+/ftwdHSEgYEBGhoasHz5coSEhAAAa4aa1ZL6KC8vh7W1tda8TCaDpaVlm6ghNklEbUhkZCTy8vKQkZGh6yjUhpWWliIqKgqpqano0KGDruPQfwG1Wg1XV1esWLECAODs7Iy8vDxs2bIFoaGhOk5HbdGBAwcQFxeHb7/9FgMHDkRubi6io6Nha2vLmqF2gR+3awVWVlYwMDBodGepP/74AwqFQkepqK2ZOXMmkpOTceLECfTo0UMaVygUePLkCaqqqrTWs37ar5ycHFRUVGDYsGGQyWSQyWRQqVRYv349ZDIZbGxsWDOkpVu3bhgwYIDWWP/+/VFSUgIAUl3w5xQ99fHHH2PBggV45513MHjwYEyZMgUxMTFYuXIlANYMNa8l9aFQKBrdwKy+vh6VlZVtoobYJLUCIyMjuLi44NixY9KYWq3GsWPH4OHhocNk1BYIITBz5kwcOnQIx48fh729vda8i4sLDA0NteqnsLAQJSUlrJ92avTo0bh8+TJyc3Olw9XVFSEhIdLXrBnS5OXl1ehfCxQVFaFXr14AAHt7eygUCq2auX//PrKyslgz7dTjx4+hr6/9a6KBgQHUajUA1gw1ryX14eHhgaqqKuTk5Ehrjh8/DrVaDXd391bP3Iiu7xzRXsTHxwtjY2Oxe/dukZ+fLyIiIoSFhYUoLy/XdTTSsenTp4tOnTqJtLQ0UVZWJh2PHz+W1nz00UfCzs5OHD9+XJw7d054eHgIDw8PHaamtkbz7nZCsGZI29mzZ4VMJhPLly8XxcXFIi4uTpiYmIi9e/dKa1atWiUsLCxEYmKiuHTpkggICBD29vaiurpah8lJV0JDQ0X37t1FcnKyuHHjhvj++++FlZWVmDdvnrSGNdO+PXjwQFy4cEFcuHBBABBr164VFy5cEL/++qsQomX14evrK5ydnUVWVpbIyMgQ/fr1E8HBwbp6S1rYJLWiDRs2CDs7O2FkZCTc3NzEmTNndB2J2gAATR67du2S1lRXV4sZM2aIzp07CxMTE/H222+LsrIy3YWmNufZJok1Q886cuSIGDRokDA2NhaOjo5i27ZtWvNqtVrExsYKGxsbYWxsLEaPHi0KCwt1lJZ07f79+yIqKkrY2dmJDh06iN69e4tFixaJ2tpaaQ1rpn07ceJEk7+/hIaGCiFaVh937twRwcHBwszMTJibm4uwsDDx4MEDHbybxvSE0PjXyURERERERO0cr0kiIiIiIiLSwCaJiIiIiIhIA5skIiIiIiIiDWySiIiIiIiINLBJIiIiIiIi0sAmiYiIiIiISAObJCIiIiIiIg1skoiIiIiIiDSwSSIiohZRKpWIjo7WdQydi42NRUREhK5jAABGjBiBgwcP6joGEdH/HDZJREQEAJg6dSr09PQaHdeuXdNJnqVLl0oZDAwM0LNnT0RERKCysvKFzjN16lRMmDDhpWQqLy/HunXrsGjRon91nn379mHChAkYO3YsJk2ahMePH2vNL1u2DJMnT/7b8yxevBgLFiyAWq3+V3mIiEgbmyQiIpL4+vqirKxM67C3t9dZnoEDB6KsrAwlJSXYtWsXfvzxR0yfPl1neXbs2AFPT0/06tXrX50nODgYw4cPR1lZGQ4dOoTffvtNaz4xMRFvvfXW357Hz88PDx48QEpKyr/KQ0RE2tgkERGRxNjYGAqFQuswMDBocu3du3fx3nvvoXPnzjAxMYGfnx+Ki4sBAEIIdO3aFd999520fujQoejWrZv0OCMjA8bGxo12UTTJZDIoFAp0794dPj4+CAoKQmpqqjTf0NCA8PBw2NvbQy6Xw8HBAevWrZPmly5dij179iAxMVHalUpLSwMAlJaWYuLEibCwsIClpSUCAgJw8+bNZr8/8fHx8Pf31xpTKpWYNWsWoqOj0blzZ9jY2GD79u149OgRwsLC0LFjR/Tt27dRI7No0SJkZ2dj/vz56NmzpzReWlqKK1euwNfXF0IILF26FHZ2djA2NoatrS1mz54trTUwMMC4ceMQHx/fbG4iInoxbJKIiOgfmTp1Ks6dO4ekpCRkZmZCCIFx48ahrq4Oenp6GDVqlNSQ3L17FwUFBaiursbVq1cBACqVCsOHD4eJiUmLXu/mzZs4evQojIyMpDG1Wo0ePXogISEB+fn5WLJkCRYuXIgDBw4AAObOnYuJEydq7ZB5enqirq4OY8eORceOHZGeno5Tp07BzMwMvr6+ePLkSZOvX1lZifz8fLi6ujaa27NnD6ysrHD27FnMmjUL06dPR1BQEDw9PXH+/HmMGTMGU6ZMkRrC6upqAICRkRGOHz+Oo0ePSudKSkqCUqmEubk5Dh48iC+//BJbt25FcXExDh8+jMGDB2u9tpubG9LT01v0PSQiopaR6ToAERG1HcnJyTAzM5Me+/n5ISEhodG64uJiJCUl4dSpU/D09AQAxMXFoWfPnjh8+DCCgoKgVCqxdetWAMDJkyfh7OwMhUKBtLQ0ODo6Ii0tDd7e3s3muXz5MszMzNDQ0ICamhoAwNq1a6V5Q0NDLFu2THpsb2+PzMxMHDhwABMnToSZmRnkcjlqa2uhUCikdXv37oVarcaOHTugp6cHANi1axcsLCyQlpaGMWPGNMpSUlICIQRsbW0bzQ0ZMgSLFy8GAHzyySdYtWoVrKysMG3aNADAkiVLsHnzZly6dAkjRozArFmzUFRUhHv37qFv374YPXq0dK7ExEQEBARIr6lQKODj4wNDQ0PY2dnBzc1N67VtbW1RWloKtVoNfX3+7ZOI6GVgk0RERJLXX38dmzdvlh6bmpo2ua6goAAymQzu7u7SWJcuXeDg4ICCggIAgLe3N6KiovDnn39CpVJBqVRKTVJ4eDhOnz6NefPmNZvHwcEBSUlJqKmpwd69e5Gbm4tZs2Zprdm4cSO++eYblJSUoLq6Gk+ePMHQoUObPe/Fixdx7do1dOzYUWu8pqYGv/zyS5PPebr706FDh0ZzTk5O0tcGBgbo0qWL1o6PjY0NAKCiogLAX9c2NeX+/ftQqVTYuXMnACAoKAhfffUVevfuDV9fX4wbNw7+/v6Qyf7/x7dcLodarUZtbS3kcnmz75uIiFqGf3IiIiKJqakp+vbtKx2a1xC9qMGDB8PS0hIqlUpqkpRKJVQqFbKzs1FXVyftQj2PkZER+vbti0GDBmHVqlUwMDDQ2jmKj4/H3LlzER4ejp9++gm5ubkICwt77kfmnnr48CFcXFyQm5urdRQVFeHdd99t8jlWVlYA/vro4LMMDQ21Huvp6WmNPd2t+ru70KWkpGDAgAHSNUo9e/ZEYWEhNm3aBLlcjhkzZmDUqFGoq6uTnlNZWQlTU1M2SERELxF3koiI6IX1798f9fX1yMrKkhqdO3fuoLCwEAMGDADwV2Pw2muvITExEVeuXMHIkSNhYmKC2tpabN26Fa6urs/dqXqexYsX44033sD06dNha2srfdxvxowZ0ppnd4KMjIzQ0NCgNTZs2DDs378f1tbWMDc3b9Fr9+nTB+bm5sjPz8err776QrlbSvOjdk/J5XL4+/vD398fkZGRcHR0xOXLlzFs2DAAQF5eHpydnf8jeYiI2ivuJBER0Qvr168fAgICMG3aNGRkZODixYuYPHkyunfvrvVLvlKpxL59+zB06FCYmZlBX18fo0aNQlxc3N9ej9QUDw8PODk5YcWKFVKOc+fO4ejRoygqKkJsbCyys7O1nvPKK6/g0qVLKCwsxO3bt1FXV4eQkBBYWVkhICAA6enpuHHjBtLS0jB79uxGt+N+Sl9fHz4+PsjIyHjh3C1RX1+PlJQUrVt/7969Gzt37kReXh6uX7+OvXv3Qi6Xa92CPD09vclrqIiI6J9jk0RERP/Irl274OLigjfffBMeHh4QQuCHH37Q+piZt7c3GhoaoFQqpTGlUtlo7EXExMRgx44dKC0txYcffojAwEBMmjQJ7u7uuHPnjtauEgBMmzYNDg4OcHV1RdeuXXHq1CmYmJjg5MmTsLOzQ2BgIPr374/w8HDU1NQ0u7P0wQcfID4+/j/yz1tVKhXMzMykHSIAsLCwwPbt2+Hl5QUnJyf8/PPPOHLkCLp06QIAuHXrFk6fPo2wsLCXnoeIqD3TE0IIXYcgIiL6byCEgLu7O2JiYhAcHPxSzz179mzU19dj06ZNLX7O/PnzcffuXWzbtu2lZiEiau94TRIREVEL6enpYdu2bbh8+fJLP/egQYPg4eHxQs+xtrbGnDlzXnoWIqL2jjtJREREREREGnhNEhERERERkQY2SURERERERBrYJBEREREREWlgk0RERERERKSBTRIREREREZEGNklEREREREQa2CQRERERERFpYJNERERERESkgU0SERERERGRhv8Db10yyqqW2agAAAAASUVORK5CYII=\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "9.Risk Assessment Simulation"
      ],
      "metadata": {
        "id": "7jusWlnYMNUt"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "\n",
        "\n",
        "risk_factors = {\"Technology Risk\": 0.2, \"Supply Chain Risk\": 0.3, \"Regulatory Delays\": 0.1}\n",
        "simulations = 10000\n",
        "delays = []\n",
        "\n",
        "\n",
        "for _ in range(simulations):\n",
        "    delay = sum([np.random.choice([0, 1], p=[1-risk, risk]) for risk in risk_factors.values()])\n",
        "    delays.append(delay)\n",
        "\n",
        "\n",
        "average_delay = np.mean(delays)\n",
        "print(f\"Average Number of Risk Factors Causing Delays: {average_delay:.2f}\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "7-3zNDppMMyP",
        "outputId": "2641580b-8ace-4bea-8f3f-8f83a497ce56"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Average Number of Risk Factors Causing Delays: 0.60\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "10.Workforce Allocation Simulation"
      ],
      "metadata": {
        "id": "e8FhAY1QMgKO"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from scipy.optimize import linprog\n",
        "\n",
        "\n",
        "cost = [1000, 800, 1200]\n",
        "requirements = [10, 14, 2]\n",
        "bounds = [(1, 20), (1, 25), (1, 5)]\n",
        "\n",
        "\n",
        "res = linprog(cost, A_eq=[requirements], b_eq=[sum(requirements)], bounds=bounds, method=\"highs\")\n",
        "allocated = res.x\n",
        "total_cost = res.fun\n",
        "\n",
        "print(f\"Allocated Workforce: Design: {allocated[0]:.1f}, Operations: {allocated[1]:.1f}, Maintenance: {allocated[2]:.1f}\")\n",
        "print(f\"Total Workforce Cost: ₹{total_cost:.2f}/month\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "kt1Hv5cOMdyn",
        "outputId": "b052e649-a671-4208-9705-f8c71b3cc478"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Allocated Workforce: Design: 1.0, Operations: 1.0, Maintenance: 1.0\n",
            "Total Workforce Cost: ₹3000.00/month\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "11.This code calculates key parameters like blade velocity, flow coefficient, and pressure rise in the impeller."
      ],
      "metadata": {
        "id": "HUzOgpVU6Qxc"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "\n",
        "\n",
        "flow_rate = 1.5\n",
        "rotational_speed = 5000\n",
        "impeller_diameter = 0.5\n",
        "blade_width = 0.1\n",
        "air_density = 1.2\n",
        "specific_gas_constant = 287\n",
        "inlet_pressure = 101325\n",
        "inlet_temperature = 300\n",
        "\n",
        "\n",
        "omega = (2 * np.pi * rotational_speed) / 60\n",
        "\n",
        "\n",
        "tip_velocity = omega * (impeller_diameter / 2)\n",
        "\n",
        "\n",
        "flow_coefficient = flow_rate / (np.pi * (impeller_diameter ** 2) * blade_width * tip_velocity)\n",
        "\n",
        "\n",
        "pressure_rise = 0.5 * air_density * (tip_velocity ** 2)\n",
        "\n",
        "\n",
        "outlet_pressure = inlet_pressure + pressure_rise\n",
        "\n",
        "\n",
        "print(f\"Tip Velocity: {tip_velocity:.2f} m/s\")\n",
        "print(f\"Flow Coefficient: {flow_coefficient:.3f}\")\n",
        "print(f\"Pressure Rise: {pressure_rise:.2f} Pa\")\n",
        "print(f\"Outlet Pressure: {outlet_pressure:.2f} Pa\")\n",
        "\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "8wXESdT-a1HJ",
        "outputId": "5a63ffbc-8cec-4c8a-cd85-07f2facdafe8"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Tip Velocity: 130.90 m/s\n",
            "Flow Coefficient: 0.146\n",
            "Pressure Rise: 10280.84 Pa\n",
            "Outlet Pressure: 111605.84 Pa\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "1.Tip Velocity: Velocity at the outer edge of the impeller, critical for energy transfer.\n",
        "\n",
        "2.Flow Coefficient: Indicates the flow efficiency of the compressor.\n",
        "\n",
        "3.Pressure Rise: Determines how much pressure the impeller adds to the fluid.\n"
      ],
      "metadata": {
        "id": "9D5qHBi66wDI"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt\n",
        "\n",
        "\n",
        "flow_rates = np.linspace(0.5, 3, 50)\n",
        "pressure_rises = 0.5 * air_density * (omega * impeller_diameter / 2) ** 2 * (1 - flow_rates / 3)\n",
        "\n",
        "plt.figure(figsize=(8, 6))\n",
        "plt.plot(flow_rates, pressure_rises, label=\"Pressure Rise vs. Flow Rate\")\n",
        "plt.xlabel(\"Flow Rate (m³/s)\")\n",
        "plt.ylabel(\"Pressure Rise (Pa)\")\n",
        "plt.title(\"Performance Curve of Impeller\")\n",
        "plt.legend()\n",
        "plt.grid()\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 564
        },
        "id": "mhqJXRFZ6YKc",
        "outputId": "3e6f38b1-d0a9-421d-e8cd-e90650235e70"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x600 with 1 Axes>"
            ],
            "image/png": 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r166xZMkSpk6dSqVKlXjppZeYN28er7/+OmvWrKFu3bokJSVx8OBB5s2bZzt368N07NjRdhngnTt38sILL9iuBLd8+XJWr17NnDlzAChXrhy1a9dm8ODBXLt2DV9fX37++ecHFuf/EhISgqenJ2+//TYODg73zXV+0q+Xjz/+mFWrVlGvXj3efPNNHB0dmTZtGnFxcYwePTrVedNb8eLFqVevHm+88QZxcXGMGzeOXLlyMWjQINs6kydPpl69elSoUIGePXtStGhRLl68SGRkJGfPnmX37t0p3l/9+vXp1asXI0eOZNeuXTRu3BgnJyeOHDnC/PnzGT9+PO3bt0+PpyqSJagAi0iKvfvuu5QsWZKxY8cyfPhw4O85qo0bN6Zly5ZPtO3p06dTtGhRZs6cyaJFi/D392fw4MF8+OGHaRH9P5UqVYoFCxYwZMgQ3n77bfz9/XnjjTfIkyfPfWeQSKkcOXIQHh7Ohx9+yKJFi/j+++/JmzcvDRs2pGDBggCYzWYWL17M2LFjmTVrFosWLcLd3Z2iRYvSr1+/FE0f+Pjjj3nmmWeYMGECU6ZM4dq1a+TMmZPatWvz66+/Jhub2bNn06tXLz777DN8fHzo3r07Tz/9NM8++2yqnpurqystW7Zk9uzZNGrU6IEfxnqSr5dy5coRHh7O4MGDGTlyJBaLhVq1avHjjz9Sq1atVGXNCF27dsVsNjNu3DguXbpEzZo1mTRpEvny5bOtU7ZsWbZt28bw4cOZOXMmV69eJW/evFSpUiXZ+ahTaurUqVSrVo1p06bx3nvv4ejoSJEiRXjxxRepW7duWj49kSzHZH2c2fwiIiLCyZMnCQwM5PPPP3/sv4CISMbTHGARERERyVZUgEVEREQkW1EBFhEREZFsRXOARURERCRb0RFgEREREclWVIBFREREJFvReYBTwGKxcP78eTw9PVN9qVIRERERSX9Wq5WbN2+SP39+zOZHH+NVAU6B8+fPZ7rrzouIiIjI/c6cOWO72NDDqACngKenJ/D3C5pR159PSEhg5cqVtstbin3R+Nk/jaH90xjaN42f/cvoMYyJiSEgIMDW2x5FBTgF7k178PLyytAC7O7ujpeXl974dkjjZ/80hvZPY2jfNH72z6gxTMl0VX0ITkRERESyFRVgEREREclWVIBFREREJFvRHGAREcm2rFYriYmJJCUlGR1F/iUhIQFHR0diY2M1PnYqPcbQyckJBweHJ96OCrCIiGRL8fHxXLhwgTt37hgdRR7AarXi7+/PmTNndA5+O5UeY2gymShYsCA5cuR4ou2oAIuISLZjsVg4ceIEDg4O5M+fH2dnZ5WsTMZisXDr1i1y5Mjxnxc1kMwprcfQarVy+fJlzp49S4kSJZ7oSLAKsIiIZDvx8fFYLBYCAgJwd3c3Oo48gMViIT4+HldXVxVgO5UeY5gnTx5OnjxJQkLCExVgfUWJiEi2pWIlYl/S6i81eueLiIiISLaiAiwiIiIi2YoKsIiIiGQpL7/8Mq1btzY6RrrJ6s8vI6gAi4iI2JGXX34Zk8mEyWTC2dmZ4sWLM2LECBITE42Olu5Onjxpe+4mkwlfX1/q169PeHh4svXGjx/PzJkzjQmZBoYNG5bsed7798cffxiSZ+bMmbYMZrOZfPny0bFjR06fPp2q7QwbNozKlSunT8hUUgEWERGxM8899xwXLlzgyJEjvPXWWwwbNozPP//8gevGx8dncLr/9qSZ/vjjDy5cuMD69evJnz8/zZs35+LFi7b7vb298fHxecKUxipXrhwXLlxI9u+pp54yLI+XlxcXLlzg3Llz/PLLLxw6dIjnn3/esDxPSgVYRESEv88xeic+0ZB/Vqs1VVldXFzw9/encOHCvPHGGzRq1IglS5YA///P45988gn58+enVKlSAJw5c4YOHTrg4+ODr68vrVq14uTJk7Ztrl27lpo1a+Lh4YGPjw9169bl1KlTAOzevZunn34aT09PvLy8qFatGtu2bQMefFRv3LhxFClSxHb7cTM9TK5cufD396d8+fK89957xMTEsHnz5vv2d8+CBQuoUKECbm5u5MqVi0aNGnH79m3b/dOnT6dMmTK4urpSunRpvvrqq4fu++uvvyZ//vxYLJZky1u1asWrr776n69XSjk6OuLv75/sn7Oz8wPXjYuLo2/fvuTNmxdXV1fq1avH1q1bbfdXr16dL774wna7devWODk5cevWLQDOnj2LyWTi6NGjD81jMpnw9/cnX7581KlTh+7du7NlyxZiYmJs6/zvf/+jZMmSuLu7U7RoUYYOHUpCQgLw91Hk4cOHs3v3btvR5HtH6W/cuEGPHj3IkycPXl5ePPPMM+zevTtVr1dq6TzAIiIiwN2EJMoOXWHIvvePaIK78+P/SHZzc+Pq1au226tXr8bLy4tVq1YBf1+StkmTJgQFBREeHo6joyMff/wxzz33HH/99Rdms5nWrVvTs2dPfvrpJ+Lj49myZYvtlFNdunShSpUqTJkyBQcHB3bt2oWTk1OqMqY2k6Pjf78ed+/eZdasWQAPLYcXLlzghRdeYPTo0bRp04abN28SHh5u+6Vj9uzZDB06lEmTJlGlShV27txJz5498fDwoFu3bvdt7/nnn6dPnz6sWbOGhg0bAnDt2jWWL19OWFhYmr1eqTFo0CB++eUXvv/+ewoXLszo0aNp0qQJR48etU0TWbt2LW+//TZWq5Xw8HB8fHyIiIjgueeeY926dRQoUIDixYunaH+XLl1i0aJFODg4JDsXr6enJzNnziR//vzs2bOHnj174uTkxAcffEDHjh3Zu3cvy5cvt03l8Pb2Bv5+Td3c3Pj999/x9vZm2rRpNGzYkMOHD+Pr65v2LxgqwCIiInbLarWyevVqVqxYQZ8+fWzLPTw8mD59uq0U/vjjj1gsFqZPn24rtTNmzMDHx4e1a9dSvXp1oqOjad68OcWKFQOgTJkytu2dPn2ad955h9KlSwNQokSJVGdNbaZGjRo9dFt16tTBbDZz584drFYr1apVs5XRf7tw4QKJiYm0bduWwoULA1ChQgXb/R9++CFffvklbdu2BSAwMJD9+/czbdq0BxbgnDlz0rRpU+bMmWPb54IFC8idOzdPP/00kDav1549e5Jd7rds2bJs2bLlvvVu377NlClTmDlzJk2bNgXgm2++YdWqVXz77be88847NGjQgG+//ZakpCT27t2Ls7MzHTt2ZO3atTz33HOsXbuW+vXrPzJPdHQ0OXLk+PsvJf93+fC+ffvi4eFhW2fIkCG2/y9SpAhvvfUWc+bM4YMPPsDNzY0cOXLYjmzfExERwZYtW7h06RIuLi4AfPHFFyxevJgFCxbw2muvpfq1SwkV4EwoPtHCpD+PUSDJ6CQiItmHm5MD+0c0MWzfqbF06VJy5MhBQkICFouFzp07M2zYMNv9FSpUSHZEdPfu3Rw9ehRPT89k24mNjeXYsWM0btyYl19+mSZNmvDss8/SqFEjOnToQL58+QAYOHAgPXr04IcffqBRo0Y8//zztqKcUqnN9KgCPHfuXEqXLs3evXsZNGgQM2fOfOgR1kqVKtGwYUMqVKhAkyZNaNy4Me3btydnzpzcvn2bY8eO0b17d3r27Gl7TGJiou3o5IN06dKFnj178tVXX+Hi4sLs2bPp1KmT7cIqafF6lSpVyjatBbCVw387duwYCQkJ1K1b17bMycmJmjVrcuDAAQCCg4O5efMmO3fuZOPGjdSvX58GDRrw2WefAbBu3TreeeedR+bx9PRkx44dJCQk8PvvvzN79mw++eSTZOvMnTuXCRMmcOzYMW7dukViYuJ94/tvu3fv5tatW+TKlSvZ8rt373Ls2LFHPvZJqABnQqOXH2R6xAnyujpQpvpNKhZKn8P/IiLy/5lMpieahpCRnn76aaZMmYKzszP58+e/b7rAP4/KAdy6dYtq1aoxe/bs+7aVJ08e4O+jr3379mX58uXMnTuXIUOGsGrVKmrXrs2wYcPo3Lkzy5Yt4/fff+fDDz/k559/pk2bNpjN5vvmMN+b9/mkmR4mICCAEiVKUKJECRITE2nTpg179+59YEl0cHBg1apVbNy4kZUrVzJx4kTef/99Nm/ebLsM9jfffEOtWrXue9zDtGjRAqvVyrJly6hRowbh4eGMHTvWdv+jXq+UuneGj7Tg4+NDpUqVWLt2LZGRkTz77LM89dRTdOzYkcOHD3PkyJH/PAJsNpttecqUKcOxY8d44403+OGHHwCIjIykS5cuDB8+nCZNmuDt7c1PP/3El19++cjt3rp1i3z58rF27doH5k4v+hBcJtSkvD/+Xi5cijXR/uvN/LjpVKo/ICEiIlmXh4cHxYsXp1ChQimaK1u1alWOHDlC3rx5KV68eLJ//zzSWaVKFQYPHszGjRspX748c+bMsd1XsmRJBgwYwMqVK2nbti0zZswA/i6rUVFRyX5O7dq1K80y/Zf27dvj6Oj4yA+umUwm6taty/Dhw9m5cyfOzs4sWrQIPz8/8ufPz/Hjx+/LEBgY+NDtubq60rZtW2bPns1PP/1EqVKlqFq1arJ1HvZ6pbVixYrh7OzMhg0bbMsSEhLYunUrZcuWtS2rX78+a9asYf369TRo0ABfX1/KlCnDJ598Qr58+ShZsmSq9vvuu+8yd+5cduzYAcDGjRspXLgw77//PtWrV6dEiRK2D1He4+zsTFJS8j9vV61alaioKBwdHe8bg9y5c6f25UgxFeBMqEYRX5aEBlHWx0J8ooUhi/fS+6ed3Iy9/zdqERGR/9KlSxdy585Nq1atCA8P58SJE6xdu5a+ffty9uxZTpw4weDBg4mMjOTUqVOsXLmSI0eOUKZMGe7evUvv3r1Zu3Ytp06dYsOGDWzdutU2R7hBgwZcvnyZ0aNHc+zYMSZPnszvv//+xJlSymQy0bdvXz777DPb3NR/2rx5M59++inbtm3j9OnTLFy4kMuXL9vyDx8+nJEjRzJhwgQOHz7Mnj17mDFjBmPGjPnP/MuWLeO7776jS5cutuX/9XqdO3eO0qVLP3A+7+Pw8PDgjTfe4J133mH58uXs37+fnj17cufOHbp3725br0GDBqxYsQJHR0fb3OQGDRowe/bs/zz6+yABAQG0adOGoUOHAn/Pcz59+jQ///wzx44dY8KECSxevDjZY4oUKcKJEyfYtWsXV65cIS4ujkaNGhEUFETr1q1ZuXIlJ0+eZOPGjbz//vupPnNGaqgAZ1I53Z3pWdrCu8+VxNFsYtlfF2g+MYI9Z6ONjiYiInbG3d2d9evXU6hQIdq2bUuZMmXo3r07sbGxeHl54e7uzsGDB2nXrh0lS5bktddeIzQ0lF69euHg4MDVq1fp2rUrJUuWpEOHDjRt2pThw4cDf/85/KuvvmLy5MlUqlSJLVu28Pbbbz9xptTo1q0bCQkJTJo06b77vLy8WL9+PSEhIZQsWZIhQ4bw5Zdf2j4w1qNHD6ZPn86MGTOoUKEC9evXZ+bMmY88AgzwzDPP4Ovry6FDh+jcubNt+X+9XgkJCRw6dOiBZf1xffbZZ7Rr146XXnqJqlWrcvToUVasWEHOnDlt6wQHB2OxWJKV3QYNGpCUlESDBg0ea78DBgxg2bJlbNmyhZYtWzJgwAB69+5N5cqV2bhxY7IPxQG0a9eO5557jqeffpo8efLw008/YTKZCAsL46mnnuKVV16hZMmSdOrUiVOnTuHn5/dYuVLCZNXf1v9TTEwM3t7eREdHp/pN+bgSEhIICwsjJCSEPRdu0WfOTs7duIuzg5n3QkrTrU4R26dmJfP55/il56lvJP1oDO3fo8YwNjaWEydOEBgYiKurq0EJ5VEsFgsxMTF4eXnZPlwm9iU9xvBR793U9DV9RdmBqoVyEtY3mMZl/YhPsjDst/28/uN2ou9oSoSIiIhIaqkA2wlvdyemvVSND1uUxcnBxIp9F2k2MZydp68bHU1ERETErqgA2xGTycQrdQP55Y06FPJ15+z1uzw/NZLp4cd1lggRERGRFFIBtkMVC/qwtG89Qir4k2ix8vGyA/T4fhvXb8cbHU1EREQk01MBtlNerk5M7lyVj1qXx9nRzOqDl2g2IZztp64ZHU1ExG7or2ci9iWt3rMqwHbMZDLxUu3CLHqzDoG5PTgfHUuHaZuYsvYYFou+qYuIPMy9s0Kk5amoRCT9xcf//dfuR12pLyXs45qP8kjl8nvzW596vLdwD0t2n2fU8oNsOn6VMR0qkSvHg68dLiKSnTk4OODj48OlS5eAv89Jq1NLZi4Wi4X4+HhiY2N1GjQ7ldZjaLFYuHz5Mu7u7im6AuKjqABnETlcHBnfqTJ1iuXiwyX7WHf4MiETwpnQqQq1iuYyOp6ISKbj7+8PYCvBkrlYrVbu3r2Lm5ubfjmxU+kxhmazmUKFCj3x9lSAsxCTyUSnmoWoXMiH0Nk7OHb5Ni98s4kBjUry5tPFcTDrG4iIyD0mk4l8+fKRN29eEhJ0XvXMJiEhgfXr1/PUU0/pYjR2Kj3G0NnZOU2OJqsAZ0Gl/b34rU89Pli8j192nOXLVYfZfOIaYztWJo+npkSIiPyTg4PDE88nlLTn4OBAYmIirq6uKsB2KjOPoSbVZFHuzo582aESXzxfCTcnByKOXiFkQjgbj14xOpqIiIiIoVSAs7j21QqypHddSvl5cvlmHF2+3czYVYdJ0lkiREREJJtSAc4GSvh5sji0Lp1qBGC1wvjVR+gyfROXYmKNjiYiIiKS4VSAswk3Zwc+a1eR8Z0q4+HswKbj12g6Ppz1hy8bHU1EREQkQ6kAZzOtKhfgtz71KJPPi6u34+k2YwufrzhIYpLF6GgiIiIiGUIFOBsqmicHi96sQ5dahbBaYfKaY7zwzSYuRN81OpqIiIhIulMBzqZcnRz4pE0FJnWuQg4XR7aevE7I+HDWHNQJ4UVERCRrUwHO5ppXzM+yvvUoX8CL63cSeGXmVkaGHSBBUyJEREQki1IBFgrn8uCXN+rwcp0iAExbf5wO0yI5e/2OscFERERE0oEKsADg4ujAsJblmPpiVTxdHdl5+gbNJkSwcl+U0dFERERE0pShBTgpKYkPPviAwMBA3NzcKFasGB999BFW6/+/SIPVamXo0KHky5cPNzc3GjVqxJEjR5Jt59q1a3Tp0gUvLy98fHzo3r07t27dSrbOX3/9RXBwMK6urgQEBDB69OgMeY725rny+QjrG0ylgt5E303gtR+2M/y3fcQnakqEiIiIZA2GFuBRo0YxZcoUJk2axIEDBxg1ahSjR49m4sSJtnVGjx7NhAkTmDp1Kps3b8bDw4MmTZoQG/v/L+LQpUsX9u3bx6pVq1i6dCnr16/ntddes90fExND48aNKVy4MNu3b+fzzz9n2LBhfP311xn6fO1FgK8781+vQ496gQDM2HCS9lM3cvqqpkSIiIiI/TO0AG/cuJFWrVrRrFkzihQpQvv27WncuDFbtmwB/j76O27cOIYMGUKrVq2oWLEis2bN4vz58yxevBiAAwcOsHz5cqZPn06tWrWoV68eEydO5Oeff+b8+fMAzJ49m/j4eL777jvKlStHp06d6Nu3L2PGjDHqqWd6zo5mhjQvy/Su1fF2c+Kvs9E0mxBO2J4LRkcTEREReSKORu68Tp06fP311xw+fJiSJUuye/duIiIibMX0xIkTREVF0ahRI9tjvL29qVWrFpGRkXTq1InIyEh8fHyoXr26bZ1GjRphNpvZvHkzbdq0ITIykqeeegpnZ2fbOk2aNGHUqFFcv36dnDlzJssVFxdHXFyc7XZMTAwACQkJJCQkpMtr8W/39pNR+3uY+iV8WfJmbfrP+4udZ6J5c/YOutQMYPBzJXFxcjA0W2aWWcZPHp/G0P5pDO2bxs/+ZfQYpmY/hhbgd999l5iYGEqXLo2DgwNJSUl88skndOnSBYCoqL8/gOXn55fscX5+frb7oqKiyJs3b7L7HR0d8fX1TbZOYGDgfdu4d9+/C/DIkSMZPnz4fXlXrlyJu7v74z7dx7Jq1aoM3d/DvJQffJPMrD5vZvaWM6zbd5puJZLI62Z0sswts4yfPD6Nof3TGNo3jZ/9y6gxvHMn5VM1DS3A8+bNY/bs2cyZM4dy5cqxa9cu+vfvT/78+enWrZthuQYPHszAgQNtt2NiYggICKBx48Z4eXllSIaEhARWrVrFs88+i5OTU4bs87+0ANYdvsw7v+zl7O0Exu134aNWZWlRMZ/R0TKdzDh+kjoaQ/unMbRvGj/7l9FjeO8v9ilhaAF+5513ePfdd+nUqRMAFSpU4NSpU4wcOZJu3brh7+8PwMWLF8mX7/+XrIsXL1K5cmUA/P39uXQp+dXLEhMTuXbtmu3x/v7+XLx4Mdk6927fW+efXFxccHFxuW+5k5NThr8JjdjnozQql5/fC/rS96edbDl5jYHz97D11A0+bFEOV02JuE9mGz9JPY2h/dMY2jeNn/3LqDFMzT4M/RDcnTt3MJuTR3BwcMBi+fuUW4GBgfj7+7N69Wrb/TExMWzevJmgoCAAgoKCuHHjBtu3b7et8+eff2KxWKhVq5ZtnfXr1yebG7Jq1SpKlSp13/QH+W/+3q7M6VmLPs8Ux2SCn7acofXkDRy9dOu/HywiIiJiMEMLcIsWLfjkk09YtmwZJ0+eZNGiRYwZM4Y2bdoAYDKZ6N+/Px9//DFLlixhz549dO3alfz589O6dWsAypQpw3PPPUfPnj3ZsmULGzZsoHfv3nTq1In8+fMD0LlzZ5ydnenevTv79u1j7ty5jB8/Ptk0B0kdRwczbzUuxaxXa5I7hzMHo27SYmIEv2w/a3Q0ERERkUcydArExIkT+eCDD3jzzTe5dOkS+fPnp1evXgwdOtS2zqBBg7h9+zavvfYaN27coF69eixfvhxXV1fbOrNnz6Z37940bNgQs9lMu3btmDBhgu1+b29vVq5cSWhoKNWqVSN37twMHTo02bmC5fEEl8hDWN9g+s/dxcZjV3lr/m4ij19lRKtyuDsb+uUlIiIi8kCGNhRPT0/GjRvHuHHjHrqOyWRixIgRjBgx4qHr+Pr6MmfOnEfuq2LFioSHhz9uVHmEvF6u/NC9FpP+PMr41YdZsP0su8/cYHKXqpT08zQ6noiIiEgyhk6BkKzDwWyiX6MSzO5Rm7yeLhy5dIuWkyKYu/V0sktbi4iIiBhNBVjSVFCxXIT1Cya4RG5iEyz875c9DJi7i1txiUZHExEREQFUgCUd5M7hwvev1OSdJqVwMJtYvOs8LSdGsP98ys/PJyIiIpJeVIAlXZjNJkKfLs7Pr9XG38uV41du0/qrDfy46ZSmRIiIiIihVIAlXdUo4ktYv2CeKZ2X+EQLQxbvpfdPO7kZq2u7i4iIiDFUgCXd+Xo4M71rdd4LKY2j2cSyvy7QfGIEe85GGx1NREREsiEVYMkQZrOJ154qxrzXgyjg48apq3doN2UjMzec0JQIERERyVAqwJKhqhbKSVjfYJ4t60d8koVhv+3njR93EH1XUyJEREQkY6gAS4bzdnfi65eqMbR5WZwcTCzfF0WzCeHsOnPD6GgiIiKSDagAiyFMJhOv1gtkwet1CPB14+z1u7SfspHp4cc1JUJERETSlQqwGKpSgA/L+gYTUsGfRIuVj5cdoOesbdy4E290NBEREcmiVIDFcF6uTkzuXJWPWpfH2dHMHwcuETI+nO2nrhkdTURERLIgFWDJFEwmEy/VLsyiN+sQmNuD89GxdJi2ianrjmGxaEqEiIiIpB0VYMlUyuX35rc+9WhZKT9JFiuf/X6QV7/fytVbcUZHExERkSxCBVgynRwujozvVJnP2lbAxdHM2kOXCZkQzpYTmhIhIiIiT04FWDIlk8lEp5qF+LV3XYrl8eBiTBydvo5k0p9HNCVCREREnogKsGRqpf29WNK7Hm2rFsBihS9WHqbbjC1cvqkpESIiIvJ4VIAl0/NwcWRMh8p83r4ibk4OhB+5QsiEcDYevWJ0NBEREbFDKsBiN56vHsCS3nUp6ZeDyzfj6PLtZsauOkySpkSIiIhIKqgAi10p4efJr6H16Fg9AKsVxq8+wovTN3MpJtboaCIiImInVIDF7rg5OzCqfUXGdayMu7MDkcev0nR8OOsPXzY6moiIiNgBFWCxW62rFOC3PvUo7e/J1dvxdJuxhc9XHCQxyWJ0NBEREcnEVIDFrhXLk4PFoXXpUqsQVitMXnOMzt9s5kL0XaOjiYiISCalAix2z9XJgU/aVGDiC1XI4eLIlpPXCBkfzpqDl4yOJiIiIpmQCrBkGS0q5Wdpn3qUL+DF9TsJvDJzKyPDDpCgKREiIiLyDyrAkqUUye3BL2/UoVtQYQCmrT9Oh2mRnL1+x+BkIiIiklmoAEuW4+LowPBW5ZnSpSqero7sPH2DZhMiWLkvyuhoIiIikgmoAEuW1bRCPsL6BlOpoDfRdxN47YftjPhtP/GJmhIhIiKSnakAS5YW4OvO/Nfr0L1eIADfbThB+6kbOX1VUyJERESyKxVgyfKcHc180Lws33StjrebE3+djabZhHB+33PB6GgiIiJiABVgyTaeLetHWL9gqhby4WZcIm/M3sHQX/cSm5BkdDQRERHJQCrAkq0U8HFjbq8getUvCsCsyFO0m7KRE1duG5xMREREMooKsGQ7Tg5mBjctw4xXauDr4cy+8zG0mBjBkt3njY4mIiIiGUAFWLKtp0vlJaxvMDWL+HIrLpG+P+1k8MI9mhIhIiKSxakAS7bm7+3KnJ616PNMcUwm+GnLaVpP3sDRS7eMjiYiIiLpRAVYsj1HBzNvNS7FrFdrkjuHMwejbtJyUgQLd5w1OpqIiIikAxVgkf8TXCIPYX2DCSqaizvxSQyct5t35u/mbrymRIiIiGQlKsAi/5DXy5Ufe9Sif6MSmEwwf/tZWk6K4PDFm0ZHExERkTSiAizyLw5mE/0blWR2j1rk8XThyKVbtJwUwbxtZ7BarUbHExERkSekAizyEHWK5eb3fsEEl8hNbIKFQQv+4q15u7kdl2h0NBEREXkCKsAij5A7hwvfv1KTd5qUwmyChTvP0XJSBAcuxBgdTURERB6TCrDIfzCbTYQ+XZyfXwvC38uVY5dv03ryBuZsPq0pESIiInZIBVgkhWoG+hLWL5inS+UhLtHCe4v20PfnXdyMTTA6moiIiKSCCrBIKvh6OPNttxoMbloaR7OJ33afp8XECPaeizY6moiIiKSQCrBIKpnNJnrVL8bcXkEU8HHj5NU7tP1qI7MiT2pKhIiIiB1QARZ5TNUK52RZ33o0KuNHfJKFob/u483ZO4i+qykRIiIimZkKsMgT8HF35puu1figeVmcHEz8vjeK5hPD+euspkSIiIhkVirAIk/IZDLRvV4gC16vQ4CvG2eu3aXT9C2svWDSlAgREZFMSAVYJI1UCvBhaZ9gmpb3JyHJyqKTDrwxZxc37sQbHU1ERET+QQVYJA15uznxVZeqfNi8NA4mK6sPXqbZhAi2n7pudDQRERH5PyrAImnMZDLxYq1CDKyQRGFfd87duEvHaZFMW3cMi0VTIkRERIymAiySTgp6wKI3atOiUn4SLVZG/n6Q7t9v5dptTYkQERExkgqwSDrydHVkQqfKfNqmAi6OZtYcukzI+HC2nLhmdDQREZFsSwVYJJ2ZTCY61yrE4tC6FM3jQVRMLJ2+jmTSn0c0JUJERMQAKsAiGaRMPi9+612PtlUKYLHCFysP023GFi7fjDM6moiISLaiAiySgTxcHPmyQyVGt6+Iq5OZ8CNXCJkQzsZjV4yOJiIikm2oAItkMJPJRIfqASzpXY8SeXNw+WYcL07fzLg/DpOkKREiIiLpTgVYxCAl/TxZ0rseHaoXxGKFcX8c4cXpm7kUE2t0NBERkSxNBVjEQG7ODoxuX4kxHSrh7uxA5PGrhEwIJ/zIZaOjiYiIZFkqwCKZQNuqBVnSux6l/T25ciuert9t4YsVh0hMshgdTUREJMtRARbJJIrnzcHi0Lp0rlUIqxUmrTlK5282cyH6rtHRREREshQVYJFMxNXJgU/bVGDCC1XI4eLIlpPXCBkfzppDl4yOJiIikmWoAItkQi0r5ee3PvUol9+L63cSeGXGVkb+foAETYkQERF5YirAIplUYG4PfnmjDl2DCgMwbd1xOn29iXM3NCVCRETkSagAi2Rirk4OjGhVnildquLp6sj2U9cJGR/Oqv0XjY4mIiJit1SARexA0wr5WNYnmEoFvYm+m0DPWdv4eOl+4hM1JUJERCS1VIBF7EShXO7Mf70Or9YNBGB6xAmenxbJmWt3DE4mIiJiX1SAReyIs6OZoS3K8k3X6ni7ObH7zA1CJoSzfO8Fo6OJiIjYDRVgETv0bFk/lvWtR5VCPtyMTeT1H3fw4a97iUtMMjqaiIhIpqcCLGKnCuZ0Z16vIHrVLwrA95GnaDdlIyev3DY4mYiISOamAixix5wczAxuWoYZL9cgp7sTe8/F0HxiBL/tPm90NBERkUxLBVgkC3i6dF7C+gVTo0hObsUl0uennby3aA+xCZoSISIi8m8qwCJZRD5vN37qWZvQp4thMsGczadpPXkDxy7fMjqaiIhIpqICLJKFODqYeadJab5/pSa5PJw5GHWTFhMjWLTzrNHRREREMg0VYJEs6KmSefi9XzC1i/pyJz6JAXN3M2jBbu7Ga0qEiIiICrBIFpXXy5XZPWrTr2EJTCaYt+0sLSdFcOTiTaOjiYiIGEoFWCQLczCbGPBsSWZ3r0UeTxeOXLpFi0kRzN92xuhoIiIihlEBFskG6hTPTVjfYIJL5CY2wcI7C/5i4Lxd3I5LNDqaiIhIhlMBFskm8ni68P0rNXm7cUnMJli44xwtJ0VwMCrG6GgiIiIZSgVYJBsxm030fqYEP78WhL+XK8cu36bVpA38tOU0VqvV6HgiIiIZQgVYJBuqGejLsr71aFAqD3GJFgYv3EO/n3dxS1MiREQkG1ABFsmmcuVw4btuNXi3aWkczCaW7D5P8wnh7D0XbXQ0ERGRdKUCLJKNmc0mXq9fjHm9apPf25WTV+/QdspGfog8qSkRIiKSZakAiwjVCvsS1i+YRmX8iE+08MGv+wids4OY2ASjo4mIiKQ5FWARAcDH3ZlvulZjSLMyODmYCNsTRbMJ4ew+c8PoaCIiImlKBVhEbEwmEz2CizL/9ToUzOnGmWt3aT91I99FnNCUCBERyTJUgEXkPpUDfFjWN5jnyvmTkGRlxNL9vPbDdm7ciTc6moiIyBMzvACfO3eOF198kVy5cuHm5kaFChXYtm2b7X6r1crQoUPJly8fbm5uNGrUiCNHjiTbxrVr1+jSpQteXl74+PjQvXt3bt26lWydv/76i+DgYFxdXQkICGD06NEZ8vxE7JW3mxNTXqzKiFblcHYws2r/RZpNiGDH6etGRxMREXkihhbg69evU7duXZycnPj999/Zv38/X375JTlz5rStM3r0aCZMmMDUqVPZvHkzHh4eNGnShNjYWNs6Xbp0Yd++faxatYqlS5eyfv16XnvtNdv9MTExNG7cmMKFC7N9+3Y+//xzhg0bxtdff52hz1fE3phMJroGFWHhm3UonMudczfu0mFqJNPWHcNi0ZQIERGxT45G7nzUqFEEBAQwY8YM27LAwEDb/1utVsaNG8eQIUNo1aoVALNmzcLPz4/FixfTqVMnDhw4wPLly9m6dSvVq1cHYOLEiYSEhPDFF1+QP39+Zs+eTXx8PN999x3Ozs6UK1eOXbt2MWbMmGRFWUQerHwBb5b2qcfghXtY+tcFRv5+kM0nrvHF85Xw9XA2Op6IiEiqGFqAlyxZQpMmTXj++edZt24dBQoU4M0336Rnz54AnDhxgqioKBo1amR7jLe3N7Vq1SIyMpJOnToRGRmJj4+PrfwCNGrUCLPZzObNm2nTpg2RkZE89dRTODv//x/UTZo0YdSoUVy/fj3ZEWeAuLg44uLibLdjYmIASEhIICEhY04LdW8/GbU/SVtZcfxcHWBM+/LUKpKTj8IO8ufBSzQdv56xz1ekRpGc/70BO5MVxzC70RjaN42f/cvoMUzNfgwtwMePH2fKlCkMHDiQ9957j61bt9K3b1+cnZ3p1q0bUVFRAPj5+SV7nJ+fn+2+qKgo8ubNm+x+R0dHfH19k63zzyPL/9xmVFTUfQV45MiRDB8+/L68K1euxN3d/QmeceqtWrUqQ/cnaSsrjp8X0L8szDzswMWYOF78dgtNAyw0KmDFbDI6XdrLimOY3WgM7ZvGz/5l1BjeuXMnxesaWoAtFgvVq1fn008/BaBKlSrs3buXqVOn0q1bN8NyDR48mIEDB9pux8TEEBAQQOPGjfHy8sqQDAkJCaxatYpnn30WJyenDNmnpJ3sMH6d4xL58LcD/Lr7AsvOOBDtkosv2pUnVw4Xo6OliewwhlmdxtC+afzsX0aP4b2/2KeEoQU4X758lC1bNtmyMmXK8MsvvwDg7+8PwMWLF8mXL59tnYsXL1K5cmXbOpcuXUq2jcTERK5du2Z7vL+/PxcvXky2zr3b99b5JxcXF1xc7v8h7uTklOFvQiP2KWknK4+fj5MT4zpVoW7xPAxdspeIo1dp+dUmxneqQlCxXEbHSzNZeQyzC42hfdP42b+MGsPU7MPQs0DUrVuXQ4cOJVt2+PBhChcuDPz9gTh/f39Wr15tuz8mJobNmzcTFBQEQFBQEDdu3GD79u22df78808sFgu1atWyrbN+/fpkc0NWrVpFqVKl7pv+ICIpZzKZ6FAjgCW961Eibw4u3Yyjy/RNjPvjMEk6S4SIiGRShhbgAQMGsGnTJj799FOOHj3KnDlz+PrrrwkNDQX+/uHav39/Pv74Y5YsWcKePXvo2rUr+fPnp3Xr1sDfR4yfe+45evbsyZYtW9iwYQO9e/emU6dO5M+fH4DOnTvj7OxM9+7d2bdvH3PnzmX8+PHJpjmIyOMr6efJr73r8ny1glisMO6PI7z07WYu3Yz97weLiIhkMEMLcI0aNVi0aBE//fQT5cuX56OPPmLcuHF06dLFts6gQYPo06cPr732GjVq1ODWrVssX74cV1dX2zqzZ8+mdOnSNGzYkJCQEOrVq5fsHL/e3t6sXLmSEydOUK1aNd566y2GDh2qU6CJpCF3Z0c+f74SYzpUwt3ZgY3HrhIyPpyII1eMjiYiIpKMoXOAAZo3b07z5s0fer/JZGLEiBGMGDHioev4+voyZ86cR+6nYsWKhIeHP3ZOEUmZtlULUrGgD73n7OBg1E1e+m4zoQ2K079RCRwdDL/4pIiIiPGXQhaRrKd43hwsDq3LCzULYbXCpDVH6Tx9M1HRmhIhIiLGUwEWkXTh6uTAyLYVmPBCFTycHdhy4hohE8JZc+jSfz9YREQkHakAi0i6alkpP0v7BlM2nxfXbsfzyoytfPb7QRKSLEZHExGRbEoFWETSXWBuDxa+WYeuQX+f4nDqumN0+noT527cNTiZiIhkRyrAIpIhXJ0cGNGqPF91qYqniyPbT12n2YRw/th/8b8fLCIikoZUgEUkQ4VUyMeyvsFULOjNjTsJ9Ji1jY+X7ic+UVMiREQkY6gAi0iGK5TLnQWv1+HVuoEATI84wfPTIjlz7Y7ByUREJDtQARYRQzg7mhnaoixfv1QNL1dHdp+5QciEcJbvjTI6moiIZHEqwCJiqMbl/AnrF0yVQj7cjE3k9R+3M2zJPuISk4yOJiIiWZQKsIgYrmBOd+b1CqLXU0UBmLnxJO2nRHLq6m2Dk4mISFakAiwimYKTg5nBIWX47uXq5HR3Ys+5aJpNiGDpX+eNjiYiIlmMCrCIZCrPlPYjrF8wNYrk5FZcIr3n7OT9RXuITdCUCBERSRsqwCKS6eTzduOnnrUJfboYJhPM3nyaNl9t5PjlW0ZHExGRLEAFWEQyJUcHM+80Kc33r9Qkl4czBy7E0HxiBIt3njM6moiI2DkVYBHJ1J4qmYewfsHULurLnfgk+s/dxf8W/MXdeE2JEBGRx6MCLCKZnp+XK7N71KZfwxKYTDB32xlaTY7gyMWbRkcTERE79EQFOC4uLq1yiIg8koPZxIBnSzK7ey3yeLpw+OItWk7awILtZ42OJiIidiZVBfj333+nW7duFC1aFCcnJ9zd3fHy8qJ+/fp88sknnD+v0xWJSPqqUzw3YX2DqVc8N3cTknh7/m4GztvF7bhEo6OJiIidSFEBXrRoESVLluTVV1/F0dGR//3vfyxcuJAVK1Ywffp06tevzx9//EHRokV5/fXXuXz5cnrnFpFsLI+nC9+/WpO3G5fEbIKFO87RclIEB6NijI4mIiJ2wDElK40ePZqxY8fStGlTzOb7O3OHDh0AOHfuHBMnTuTHH39kwIABaZtUROQfHMwmej9TghpFfOn7806OXb5Nq0kbGN6yHB1rBGAymYyOKCIimVSKCnBkZGSKNlagQAE+++yzJwokIpIatYrmIqxvMAPn7Wbd4cu8u3APG49d5dO2FcjhkqJvcSIiks3oLBAiYvdy5XBhxss1+N9zpXEwm1iy+zwtJkaw73y00dFERCQTeqzDI2fPnmXJkiWcPn2a+Pj4ZPeNGTMmTYKJiKSG2WzijQbFqBmYkz5zdnLiym3afLWRD5qV4cXahTUlQkREbFJdgFevXk3Lli0pWrQoBw8epHz58pw8eRKr1UrVqlXTI6OISIpVK+zLsr7BvLNgN38cuMQHv+4j8vhVPmtXES9XJ6PjiYhIJpDqKRCDBw/m7bffZs+ePbi6uvLLL79w5swZ6tevz/PPP58eGUVEUiWnhzPfdK3OkGZlcDSbCNsTRfMJEfx19obR0UREJBNIdQE+cOAAXbt2BcDR0ZG7d++SI0cORowYwahRo9I8oIjI4zCZTPQILsr814Mo4OPG6Wt3aDdlI99FnMBqtRodT0REDJTqAuzh4WGb95svXz6OHTtmu+/KlStpl0xEJA1UKZSTsL7BNCnnR0KSlRFL99Prh+1E30kwOpqIiBgk1QW4du3aREREABASEsJbb73FJ598wquvvkrt2rXTPKCIyJPydndi6ovVGNaiLM4OZlbuv0jIhHB2nr5udDQRETFAqgvwmDFjqFWrFgDDhw+nYcOGzJ07lyJFivDtt9+meUARkbRgMpl4uW4gv7xRh0K+7py7cZfnp0byzfrjWCyaEiEikp2k6iwQMTExHDt2jPj4ePLly0eePHmYOnVqemUTEUlzFQp6s7RvPQYv3MOyvy7wSdgBIo9f5cvnK5HTw9noeCIikgFSfAR4165dlC5dmueee44WLVpQvHhxVqxYkZ7ZRETShZerE5NeqMLHrcvj7Gjmz4OXCJkQztaT14yOJiIiGSDFBfh///sfgYGBREREsH37dho2bEjv3r3TM5uISLoxmUy8WLswi96sQ2BuDy5Ex9Lp601MXnNUUyJERLK4FBfg7du3M3HiRIKCgqhSpQrfffcdx44dIyYmJj3ziYikq3L5vfmtTz1aVc5PksXK5ysO8fLMrVy9FWd0NBERSScpLsDXrl2jYMGCtts+Pj54eHhw9erVdAkmIpJRcrg4Mq5jZUa1q4CLo5n1hy/T8qtNHInW5ZNFRLKiVH0Ibv/+/URFRdluW61WDhw4wM2bN23LKlasmHbpREQyiMlkomONQlQOyEnonB0cvXSLyfvNmNcco1+jUjiYVYZFRLKKVBXghg0b3ncFpebNm2MymbBarZhMJpKSktI0oIhIRirl78mS3nV5f9EeFu08z4Q/j7H99A3GdqxMXk9Xo+OJiEgaSHEBPnHiRHrmEBHJNNydHRndtjzuMWdYeNqJDUevEjI+gvGdKlO3eG6j44mIyBNKcQEuXLhweuYQEcl0aua18mJIbfrP28Ohizd58dvN9Hm6OH0blsDRIdXXERIRkUwiRd/BT58+naqNnjt37rHCiIhkNsXz5mBxaF061QjAaoUJfx6l8/TNXIyJNTqaiIg8phQV4Bo1atCrVy+2bt360HWio6P55ptvKF++PL/88kuaBRQRMZqbswOftavI+E6V8XB2YMuJazQdH87aQ5eMjiYiIo8hRVMg9u/fzyeffMKzzz6Lq6sr1apVI3/+/Li6unL9+nX279/Pvn37qFq1KqNHjyYkJCS9c4uIZLhWlQtQoYA3oXN2cuBCDC/P2MobDYox8NmSOGlKhIiI3UjRd+xcuXIxZswYLly4wKRJkyhRogRXrlzhyJEjAHTp0oXt27cTGRmp8isiWVrRPDlY9GYdXqr99+cipqw9RqevN3H+xl2Dk4mISEql6jRobm5utG/fnvbt26dXHhGRTM/VyYGPWpendtFcvPvLX2w/dZ2QCeF8+XwlGpbxMzqeiIj8B/3NTkTkMTWrmI+lfetRoYA3N+4k0P37bXy8dD/xiRajo4mIyCOoAIuIPIHCuTxY8EYQL9cpAsD0iBN0mBbJmWt3jA0mIiIPpQIsIvKEXBwdGNayHNNeqoaXqyO7ztyg2YRwlu+N+u8Hi4hIhlMBFhFJI03K+bOsbzCVA3yIiU3k9R+3M2zJPuISdYl4EZHMRAVYRCQNBfi6M//1IHoGBwIwc+NJ2k+J5NTV2wYnExGRex6rAP/www/UrVuX/Pnzc+rUKQDGjRvHr7/+mqbhRETskZODmfebleXbbtXxcXdiz7lomk+IYNlfF4yOJiIiPEYBnjJlCgMHDiQkJIQbN26QlPT3n/Z8fHwYN25cWucTEbFbDcv4EdY3mOqFc3IzLpHQOTsYsngPsQmaEiEiYqRUF+CJEyfyzTff8P777+Pg4GBbXr16dfbs2ZOm4URE7F1+Hzd+eq02bzYoBsCPm07T5quNHL98y+BkIiLZV6oL8IkTJ6hSpcp9y11cXLh9W3PcRET+zcnBzKDnSvP9qzXJ5eHMgQsxNJ8YweKd54yOJiKSLaW6AAcGBrJr1677li9fvpwyZcqkRSYRkSypfsk8hPULplagL3fik+g/dxf/W/AXd+M1JUJEJCOl6lLIAAMHDiQ0NJTY2FisVitbtmzhp59+YuTIkUyfPj09MoqIZBl+Xq7M7lGLCX8eZeKfR5i77Qy7ztxgcpcqFM/raXQ8EZFsIdUFuEePHri5uTFkyBDu3LlD586dyZ8/P+PHj6dTp07pkVFEJEtxdDAz8NmS1Ar0pd/Puzh08SYtJm7go9blaV+toNHxRESyvMc6DVqXLl04cuQIt27dIioqirNnz9K9e/e0ziYikqXVLZ6bsH71qFs8F3cTknh7/m4GztvFnfhEo6OJiGRpqS7Ad+/e5c6dv69x7+7uzt27dxk3bhwrV65M83AiIlldXk9XZr1ai7eeLYnZBAt3nKPFxAgORsUYHU1EJMtKdQFu1aoVs2bNAuDGjRvUrFmTL7/8klatWjFlypQ0DygiktU5mE30aViCOT1r4+flwrHLt2k1aQM/bzmN1Wo1Op6ISJaT6gK8Y8cOgoODAViwYAH+/v6cOnWKWbNmMWHChDQPKCKSXdQumouwvsHUL5mHuEQL7y7cQ/+5u7gVpykRIiJpKdUF+M6dO3h6/v1J5ZUrV9K2bVvMZjO1a9e2XRZZREQeT64cLsx4uQb/e640DmYTv+46T8uJEew7H210NBGRLCPVBbh48eIsXryYM2fOsGLFCho3bgzApUuX8PLySvOAIiLZjdls4o0GxZj7Wm3yebty/Mpt2ny1kR82ndKUCBGRNJDqAjx06FDefvttihQpQq1atQgKCgL+Phr8oCvEiYjI46lexJewvsE0LJ2X+EQLHyzeS++fdhITm2B0NBERu5bqAty+fXtOnz7Ntm3bWL58uW15w4YNGTt2bJqGExHJ7nJ6ODO9W3WGNCuDo9nEsr8u0GJiBHvOakqEiMjjeqzzAPv7+1OlShXM5v//8Jo1a1K6dOk0CyYiIn8zmUz0CC7K/NeDKODjxqmrd2g3ZSMzN5zQlAgRkceQoivBtW3blpkzZ+Ll5UXbtm0fue7ChQvTJJiIiCRXpVBOwvoGM+iX3azYd5Fhv+0n8vhVRrerhLe7k9HxRETsRooKsLe3NyaTyfb/IiJiDG93J6a+WI3vN57k07CDrNh3kX3nw5n4QhWqFMppdDwREbuQogI8Y8aMB/6/iIhkPJPJxMt1A6lW2JfQOTs4fe0Oz0+N5N2mpeleL9B2wEJERB7sseYAP0hsbCxffPFFWm1ORET+Q4WC3iztW49mFfKRaLHy8bID9Ph+G9dvxxsdTUQkU0tVAb58+TJLly5l5cqVJCUlAZCQkMD48eMpUqQIn332WbqEFBGRB/NydWJS5yp83Lo8zo5mVh+8RLMJ4Ww7ec3oaCIimVaKC3BERAQlSpSgZcuWNG3alDp16rB//37KlSvHtGnTGDZsGGfOnEnPrCIi8gAmk4kXaxdm0Zt1CMztwfnoWDp+vYmv1h7FYtFZIkRE/i3FBXjIkCGEhITw119/MXDgQLZu3UqbNm349NNP2b9/P6+//jpubm7pmVVERB6hXH5vfutTj1aV85NksTJ6+SFembmVq7fijI4mIpKppLgA79mzhyFDhlC+fHlGjBiByWRi9OjRtG/fPj3ziYhIKuRwcWRcx8p81rYCLo5m1h2+TMiEcDYdv2p0NBGRTCPFBfj69evkzp0bADc3N9zd3Slfvny6BRMRkcdjMpnoVLMQv/auS7E8HlyMiaPzN5uYuPoISZoSISKSstOg3bN//36ioqIAsFqtHDp0iNu3bydbp2LFimmXTkREHltpfy9+61OPIYv3snDHOb5cdZhNJ64ytmNl8nq6Gh1PRMQwqSrADRs2THbZzebNmwN/H22wWq2YTCbb2SFERMR47s6OjOlQmTrFcvPB4r1sOHqVkPERjO9UmbrFcxsdT0TEECkuwCdOnEjPHCIiko7aVytIpYLehM7ZweGLt3jx2830eaYE/RqWwMGsC2eISPaS4gJcuHDh9MwhIiLprISfJ7+G1mP4b/v4eesZJqw+wubjV5nwQhX8vDQlQkSyjzS7EpyIiGR+bs4OfNauIuM7VcbD2YHNJ67RdHw46w5fNjqaiEiGUQEWEcmGWlUuwG996lEmnxfXbsfT7bstjFp+kMQki9HRRETSnQqwiEg2VTRPDha9WYcXaxcCYMraY3T6ehPnb9w1OJmISPpSARYRycZcnRz4uHUFJnWugqeLI9tOXSdkQjirD1w0OpqISLp5rAKcmJjIH3/8wbRp07h58yYA58+f59atW2kaTkREMkbzivlZ2rceFQp4c+NOAt2/38Yny/YTn6gpESKS9aS6AJ86dYoKFSrQqlUrQkNDuXz57w9OjBo1irfffjvNA4qISMYonMuDBW8E8XKdIgB8E36CDtMiOXPtjrHBRETSWKoLcL9+/ahevTrXr1/Hzc3NtrxNmzasXr06TcOJiEjGcnF0YFjLckx9sRpero7sOnODZhPCWbEvyuhoIiJpJtUFODw8nCFDhuDs7JxseZEiRTh37lyaBRMREeM8V96fZX2DqRTgQ0xsIr1+2M6wJfuIS9TVPkXE/qW6AFsslgde7vjs2bN4enqmSSgRETFegK8783sF0TM4EICZG0/Sfkokp67eNjiZiMiTSXUBbty4MePGjbPdNplM3Lp1iw8//JCQkJC0zCYiIgZzdjTzfrOyfNutOj7uTuw5F03zCREs++uC0dFERB5bqgvwF198wYYNGyhbtiyxsbF07tzZNv1h1KhRjx3ks88+w2Qy0b9/f9uy2NhYQkNDyZUrFzly5KBdu3ZcvJj81DynT5+mWbNmuLu7kzdvXt555x0SExOTrbN27VqqVq2Ki4sLxYsXZ+bMmY+dU0QkO2pYxo+wvsFUL5yTm3GJhM7ZwZDFe4hN0JQIEbE/qS7AAQEB7N69m/fff58BAwZQpUoVPvvsM3bu3EnevHkfK8TWrVuZNm0aFStWTLZ8wIAB/Pbbb8yfP59169Zx/vx52rZta7s/KSmJZs2aER8fz8aNG/n++++ZOXMmQ4cOta1z4sQJmjVrxtNPP82uXbvo378/PXr0YMWKFY+VVUQku8rv48ZPr9XmzQbFAPhx02nafLWR45d1CkwRsS+OqVk5ISGB0qVLs3TpUrp06UKXLl2eOMCtW7fo0qUL33zzDR9//LFteXR0NN9++y1z5szhmWeeAWDGjBmUKVOGTZs2Ubt2bVauXMn+/fv5448/8PPzo3Llynz00Uf873//Y9iwYTg7OzN16lQCAwP58ssvAShTpgwRERGMHTuWJk2aPHF+EZHsxMnBzKDnSlOraC4GzN3FgQsxtJgYwadtK9CqcgGj44mIpEiqCrCTkxOxsbFpGiA0NJRmzZrRqFGjZAV4+/btJCQk0KhRI9uy0qVLU6hQISIjI6lduzaRkZFUqFABPz8/2zpNmjThjTfeYN++fVSpUoXIyMhk27i3zj+nWvxbXFwccXFxttsxMTHA378AJCQkPOlTTpF7+8mo/Una0vjZP43ho9UJ9GHJm7UZOH8PW05ep9/Pu9hw5DJDQkrj5uxgdDxAY2jvNH72L6PHMDX7SVUBhr8L66hRo5g+fTqOjql+eDI///wzO3bsYOvWrffdFxUVhbOzMz4+PsmW+/n5ERUVZVvnn+X33v337nvUOjExMdy9ezfZuYzvGTlyJMOHD79v+cqVK3F3d0/5E0wDq1atytD9SdrS+Nk/jeGjdfKHnAlmVp4zMW/7OcL3n+Xlkkn4Z+y3ykfSGNo3jZ/9y6gxvHMn5RftSXWD3bp1K6tXr2blypVUqFABDw+PZPcvXLgwRds5c+YM/fr1Y9WqVbi6uqY2RroaPHgwAwcOtN2OiYkhICCAxo0b4+XllSEZEhISWLVqFc8++yxOTk4Zsk9JOxo/+6cxTLkWwIZjV3l7wR4u3Ipn3H5nhrcoS5sq+Q3NpTG0bxo/+5fRY3jvL/YpkeoC7OPjQ7t27VL7sPts376dS5cuUbVqVduypKQk1q9fz6RJk1ixYgXx8fHcuHEj2VHgixcv4u/vD4C/vz9btmxJtt17Z4n45zr/PnPExYsX8fLyeuDRXwAXFxdcXFzuW+7k5JThb0Ij9ilpR+Nn/zSGKdOgtD9h/XwYMHcXG45eZdDCvWw5dYMRrcrh7vxkfy18UhpD+6bxs38ZNYap2UeqvyvNmDEjtQ95oIYNG7Jnz55ky1555RVKly7N//73PwICAnBycmL16tW2wn3o0CFOnz5NUFAQAEFBQXzyySdcunTJdgaKVatW4eXlRdmyZW3rhIWFJdvPqlWrbNsQEZG0kdfTlVmv1mLymqOM++MwC7afZdeZG0zuXJVS/rpQkohkHob9Wu7p6Un58uWTLfPw8CBXrly25d27d2fgwIH4+vri5eVFnz59CAoKonbt2sDfF+UoW7YsL730EqNHjyYqKoohQ4YQGhpqO4L7+uuvM2nSJAYNGsSrr77Kn3/+ybx581i2bFnGPmERkWzAwWyib8MS1Az0pd/POzl66RatJkcwvGU5OlQPwGQyGR1RRCT1BTgwMPCR38COHz/+RIH+aezYsZjNZtq1a0dcXBxNmjThq6++st3v4ODA0qVLeeONNwgKCsLDw4Nu3boxYsSIZHmXLVvGgAEDGD9+PAULFmT69Ok6BZqISDqqXTQXYX2DGThvN+sOX+Z/v+wh8thVPm5TgRwuxk6JEBFJ9Xehf58+LCEhgZ07d7J8+XLeeeedJwqzdu3aZLddXV2ZPHkykydPfuhjChcufN8Uh39r0KABO3fufKJsIiKSOrlyuDDj5RpMW3+cL1YeYvGu8/x1NppJnatSNn/GfKBYRORBUl2A+/Xr98DlkydPZtu2bU8cSEREsg6z2cQbDYpRo0hO+vy0k+NXbtP6qw182KIsnWsW0pQIETFEqi+F/DBNmzbll19+SavNiYhIFlK9iC9hfYNpWDov8YkW3l+0l94/7eRmrC5yICIZL80K8IIFC/D19U2rzYmISBaT08OZ6d2qM6RZGRzNJpb9dYHmEyPYczba6Ggiks2kegpElSpVkv3Jymq1EhUVxeXLl5N9QE1EROTfTCYTPYKLUq1wTnrP2cmpq3doN2Uj74WUpludIpoSISIZItUFuHXr1slum81m8uTJQ4MGDShdunRa5RIRkSysSqGchPUN5p0Fu1m5/yLDfttP5PGrjG5XCW93XfRARNJXqgvwhx9+mB45REQkm/F2d2LaS9WYufEkn4YdYMW+i+w7H86kzlWpHOBjdDwRycJSPQd4x44dya7g9uuvv9K6dWvee+894uPj0zSciIhkbSaTiVfqBvLLG3Uo5OvO2et3aT9lI9PDj2O1Wo2OJyJZVKoLcK9evTh8+DDw90UvOnbsiLu7O/Pnz2fQoEFpHlBERLK+igV9WNq3HiEV/Em0WPl42QF6fL+N67d1YEVE0l6qC/Dhw4epXLkyAPPnz6d+/frMmTOHmTNn6jRoIiLy2LxcnZjcuSoftS6Ps6OZ1Qcv0WxCONtPXTM6mohkMakuwFarFYvFAsAff/xBSEgIAAEBAVy5ciVt04mISLZiMpl4qXZhFr1ZhyK53DkfHUuHaZuYsvYYFoumRIhI2kh1Aa5evToff/wxP/zwA+vWraNZs2YAnDhxAj8/vzQPKCIi2U+5/N4s7RtMy0r5SbJYGbX8IK/M3MrVW3FGRxORLCDVBXjcuHHs2LGD3r178/7771O8eHHg7wth1KlTJ80DiohI9pTDxZHxnSozsm0FXBzNrDt8mZAJ4Ww+ftXoaCJi51J9GrSKFSsmOwvEPZ9//jkODg5pEkpERAT+nhLxQs1CVCnkQ+jsHRy7fJsXvtnEgEYlefPp4jiYdeEMEUm9VB8BPnPmDGfPnrXd3rJlC/3792fWrFk4Oenk5SIikvZK+3uxpHc92lYtgMUKX646TNfvNnP5pqZEiEjqpboAd+7cmTVr1gAQFRXFs88+y5YtW3j//fcZMWJEmgcUEREB8HBxZEyHynzeviJuTg5sOHqVpuPD2XBUH8AWkdRJdQHeu3cvNWvWBGDevHmUL1+ejRs3Mnv2bGbOnJnW+URERJJ5vnoAS3rXpaRfDq7ciuPFbzczZtVhknSWCBFJoVQX4ISEBFxcXIC/T4PWsmVLAEqXLs2FCxfSNp2IiMgDlPDz5NfQenSqEYDVChNWH6HL9E1cjIk1OpqI2IFUF+By5coxdepUwsPDWbVqFc899xwA58+fJ1euXGkeUERE5EHcnB34rF1FxneqjIezA5uOXyNkfDjrDl82OpqIZHKpLsCjRo1i2rRpNGjQgBdeeIFKlSoBsGTJEtvUCBERkYzSqnIBfutTjzL5vLh6O55u321h9PKDJCZZjI4mIplUqk+D1qBBA65cuUJMTAw5c+a0LX/ttddwd3dP03AiIiIpUTRPDha9WYePlu5n9ubTfLX2GFtOXKWF/jApIg+Q6iPA8PflkLdv3860adO4efMmAM7OzirAIiJiGFcnBz5pU4FJnauQw8WRbaduMPovB9ZqSoSI/EuqC/CpU6eoUKECrVq1IjQ0lMuX//7GMmrUKN5+++00DygiIpIazSvmZ1nfepTP78XtRBM9f9jJyLADJGhKhIj8n1QX4H79+lG9enWuX7+Om5ubbXmbNm1YvXp1moYTERF5HIVzefBzz5o85f936Z22/jgdpkVy9vodg5OJSGaQ6gIcHh7OkCFDcHZ2Tra8SJEinDt3Ls2CiYiIPAkXRzPtAi1MfqESXq6O7Dx9g2YTIli5L8roaCJisFQXYIvFQlJS0n3Lz549i6enZ5qEEhERSSuNy/qxrG8wlQJ8iL6bwGs/bGfEb/uJT9SUCJHsKtUFuHHjxowbN85222QycevWLT788ENCQkLSMpuIiEiaCPB1Z36vIHoGBwLw3YYTtJ+6kdNXNSVCJDtKdQH+4osv2LBhA2XLliU2NpbOnTvbpj+MGjUqPTKKiIg8MWdHM+83K8v0rtXxcXfir7PRNJsYzu97dBVTkewm1ecBDggIYPfu3cydO5fdu3dz69YtunfvTpcuXZJ9KE5ERCQzalTWj7C+wfT5aSfbT13njdk76BpUmPdCyuDq5GB0PBHJAKkqwAkJCZQuXZqlS5fSpUsXunTpkl65RERE0k1+Hzd+fq02X648zNR1x5gVeYrtp64zqXNVAnN7GB1PRNJZqqZAODk5ERsbm15ZREREMoyTg5l3m5Zm5is18PVwZt/5GFpMjGDJ7vNGRxORdJbqOcChoaGMGjWKxMTE9MgjIiKSoRqUyktY32BqBvpyKy6Rvj/tZPDCPcQm3H/GIxHJGlI9B3jr1q2sXr2alStXUqFCBTw8kv+paOHChWkWTkREJCP4e7syp0ctxq8+wqQ1R/lpy2l2nv57SkTxvDmMjiciaSzVBdjHx4d27dqlRxYRERHDODqYeatxKWoF5qL/3J0cjLpJy0kRfNy6PG2rFjQ6noikoVQX4BkzZqRHDhERkUyhXonchPUNpt/Pu4g8fpWB83az8dhVRrQqh7tzqn9sikgmlOI5wBaLhVGjRlG3bl1q1KjBu+++y927d9Mzm4iIiCHyernyY49aDGhUErMJFmw/S6tJGzh88abR0UQkDaS4AH/yySe899575MiRgwIFCjB+/HhCQ0PTM5uIiIhhHMwm+jUqwY89apHH04Ujl27RclIE87aewWq1Gh1PRJ5AigvwrFmz+Oqrr1ixYgWLFy/mt99+Y/bs2Vgsupa6iIhkXXWK5eb3fsEEl8hNbIKFQb/8xYC5u7gdp7MhidirFBfg06dPExISYrvdqFEjTCYT58/rfIkiIpK15c7hwvev1OSdJqUwm2DxrvO0mBjB/vMxRkcTkceQ4gKcmJiIq6trsmVOTk4kJCSkeSgREZHMxmw2Efp0cX5+LQh/L1eOX7lN6682MHvzKU2JELEzKf44q9Vq5eWXX8bFxcW2LDY2ltdffz3ZuYB1HmAREcnKagb6EtYvmLfm7WLNocu8v2gvG49d5bO2FfB0dTI6noikQIoLcLdu3e5b9uKLL6ZpGBEREXvg6+HMt91qMD3iOKOXH2LZXxfYey6ayZ2rUr6At9HxROQ/pLgA6/y/IiIi/5/ZbOK1p4pRrbAvfX/ayamrd2j71Ubeb1aGrkGFMZlMRkcUkYdI8RxgERERuV+1wjlZ1rcez5b1Iz7JwodL9vHGjzuIvqvPyIhkVirAIiIiT8jH3ZmvX6rG0OZlcXIwsXxfFM0mhLPrzA2jo4nIA6gAi4iIpAGTycSr9QJZ8HodAnzdOHv9Lu2nbGR6+HGdJUIkk1EBFhERSUOVAnxY2ieYpuX9SbRY+XjZAXrO2saNO/FGRxOR/6MCLCIiksa83Zz4qktVPmpVDmcHM38cuETI+HC2n7pmdDQRQQVYREQkXZhMJl4KKsLCN+tQJJc756Nj6TBtE1PWHsNi0ZQIESOpAIuIiKSj8gW8Wdo3mJaV8pNksTJq+UFe/X4rV2/FGR1NJNtSARYREUlnOVwcGd+pMiPbVsDF0czaQ5cJmRDO5uNXjY4mki2pAIuIiGQAk8nECzUL8WvvuhTL48HFmDhe+GYTE1cfIUlTIkQylAqwiIhIBirt78WS3vVoW7UAFit8ueow3b7bwuWbmhIhklFUgEVERDKYh4sjYzpU5vP2FXFzciDi6BVCJoSz8egVo6OJZAsqwCIiIgZ5vnoAS3rXpaRfDi7fjKPLt5sZs+qwpkSIpDMVYBEREQOV8PPk19B6dKwegNUKE1Yfocv0TVyKiTU6mkiWpQIsIiJiMDdnB0a1r8i4jpVxd3Zg0/FrNB0fzvrDl42OJpIlqQCLiIhkEq2rFGBpn3qUyefF1dvxdJuxhc9XHCQxyWJ0NJEsRQVYREQkEymaJweL3qxDl1qFsFph8ppjdP5mMxei7xodTSTLUAEWERHJZFydHPikTQUmda5CDhdHtpy8Rsj4cNYcvGR0NJEsQQVYREQkk2peMT/L+tajfAEvrt9J4JWZWxkZdoAETYkQeSIqwCIiIplY4Vwe/PJGHV6uUwSAaeuP03FaJOduaEqEyONSARYREcnkXBwdGNayHFNfrIqnqyM7Tt8gZHw4q/ZfNDqaiF1SARYREbETz5XPR1jfYCoF+BB9N4Ges7Yx4rf9xCdqSoRIaqgAi4iI2JEAX3fm9wqiR71AAL7bcILnp27kzLU7BicTsR8qwCIiInbG2dHMkOZlmd61Ot5uTuw+G03IhHB+33PB6GgidkEFWERExE41KutHWL9gqhby4WZsIm/M3sHQX/cSm5BkdDSRTE0FWERExI4V8HFjbq8getUvCsCsyFO0m7KRk1duG5xMJPNSARYREbFzTg5mBjctw4yXa5DT3Yl952NoPjGCJbvPGx1NJFNSARYREckini6dl7B+wdQs4sutuET6/rSTwQv3aEqEyL+oAIuIiGQh+bzdmNOzFr2fLo7JBD9tOU3ryRs4eumW0dFEMg0VYBERkSzG0cHM201KMevVmuTO4czBqJu0nBTBwh1njY4mkimoAIuIiGRRwSXyENY3mKCiubgTn8TAebt5Z/5u7sQnGh1NxFAqwCIiIllYXi9XfuxRi/6NSmAywfztZ2k1aQOHL940OpqIYVSARUREsjgHs4n+jUoyu0ct8ni6cOTSLVpOimDe1jNYrVaj44lkOBVgERGRbKJOsdz83i+Y4BK5iU2wMOiXvxg4bze34zQlQrIXFWAREZFsJHcOF75/pSbvNCmF2QSLdp6jxcQIDlyIMTqaSIZRARYREclmzGYToU8X5+fXgvD3cuX4ldu0mryB2ZtPaUqEZAsqwCIiItlUzUBfwvoF83SpPMQnWnh/0V76/LSTm7EJRkcTSVcqwCIiItmYr4cz33arweCmpXE0m1j61wVaTIxg77loo6OJpBsVYBERkWzObDbRq34x5vYKooCPGyev3qHtVxv5fuNJTYmQLEkFWERERACoVjgny/rWo1EZP+KTLHy4ZB9vzt5B9F1NiZCsRQVYREREbHzcnfmmazWGNi+Lk4OJ3/dG0XxiOLvP3DA6mkiaUQEWERGRZEwmE6/WC2TB63UI8HXjzLW7tJ+6kW8jTmhKhGQJKsAiIiLyQJUCfFjaJ5im5f1JSLLy0dL9vPbDdm7ciTc6msgTUQEWERGRh/J2c+KrLlX5qFU5nB3MrNp/kWYTIthx+rrR0UQemwqwiIiIPJLJZOKloCIsfLMORXK5c+7GXTpMjWTaumNYLJoSIfZHBVhERERSpHwBb37rU48WlfKTaLEy8veD9Ji1jWu3NSVC7IuhBXjkyJHUqFEDT09P8ubNS+vWrTl06FCydWJjYwkNDSVXrlzkyJGDdu3acfHixWTrnD59mmbNmuHu7k7evHl55513SExMTLbO2rVrqVq1Ki4uLhQvXpyZM2em99MTERHJcjxdnZjQqTIj21bAxdHMnwcvETI+nC0nrhkdTSTFDC3A69atIzQ0lE2bNrFq1SoSEhJo3Lgxt2/ftq0zYMAAfvvtN+bPn8+6des4f/48bdu2td2flJREs2bNiI+PZ+PGjXz//ffMnDmToUOH2tY5ceIEzZo14+mnn2bXrl3079+fHj16sGLFigx9viIiIlmByWTihZqFWBxal6J5PIiKieWFbzYxec1RTYkQu+Bo5M6XL1+e7PbMmTPJmzcv27dv56mnniI6Oppvv/2WOXPm8MwzzwAwY8YMypQpw6ZNm6hduzYrV65k//79/PHHH/j5+VG5cmU++ugj/ve//zFs2DCcnZ2ZOnUqgYGBfPnllwCUKVOGiIgIxo4dS5MmTTL8eYuIiGQFZfJ58VvvenyweC8Ld57j8xWH2HT8KmM7ViZ3Dhej44k8lKEF+N+io/++7rivry8A27dvJyEhgUaNGtnWKV26NIUKFSIyMpLatWsTGRlJhQoV8PPzs63TpEkT3njjDfbt20eVKlWIjIxMto176/Tv3/+BOeLi4oiLi7PdjomJASAhIYGEhIy5Gs69/WTU/iRtafzsn8bQ/mkMM4azGT5rU5YaRXwYvvQA4Ueu0HTcesY8X5HaRX0fe7saP/uX0WOYmv1kmgJssVjo378/devWpXz58gBERUXh7OyMj49PsnX9/PyIioqyrfPP8nvv/nv3PWqdmJgY7t69i5ubW7L7Ro4cyfDhw+/LuHLlStzd3R//ST6GVatWZej+JG1p/OyfxtD+aQwzhjvQvyzMPOxA1K14us7YSpOCFpoUtGI2Pf52NX72L6PG8M6dOyleN9MU4NDQUPbu3UtERITRURg8eDADBw603Y6JiSEgIIDGjRvj5eWVIRkSEhJYtWoVzz77LE5OThmyT0k7Gj/7pzG0fxpDY3SOT2LEsoMs2HGO5WcdiHb25Yv2FcjrmbopERo/+5fRY3jvL/YpkSkKcO/evVm6dCnr16+nYMGCtuX+/v7Ex8dz48aNZEeBL168iL+/v22dLVu2JNvevbNE/HOdf5854uLFi3h5ed139BfAxcUFF5f736hOTk4Z/iY0Yp+SdjR+9k9jaP80hhnLycmJLzpUpk7x3AxZvJfI49do9VUkYztWJrhEnsfansbPvmXUGKZmH4aeBcJqtdK7d28WLVrEn3/+SWBgYLL7q1WrhpOTE6tXr7YtO3ToEKdPnyYoKAiAoKAg9uzZw6VLl2zrrFq1Ci8vL8qWLWtb55/buLfOvW2IiIhI2mpbtSBLetejtL8nV27F0/W7LXyx4hCJSRajo4kYW4BDQ0P58ccfmTNnDp6enkRFRREVFcXdu3cB8Pb2pnv37gwcOJA1a9awfft2XnnlFYKCgqhduzYAjRs3pmzZsrz00kvs3r2bFStWMGTIEEJDQ21HcV9//XWOHz/OoEGDOHjwIF999RXz5s1jwIABhj13ERGRrK543hwsDq3LCzULYbXCpDVH6fzNZi5E3zU6mmRzhhbgKVOmEB0dTYMGDciXL5/t39y5c23rjB07lubNm9OuXTueeuop/P39Wbhwoe1+BwcHli5dioODA0FBQbz44ot07dqVESNG2NYJDAxk2bJlrFq1ikqVKvHll18yffp0nQJNREQknbk6OTCybQUmvFAFD2cHtpy8Rsj4cNYcuvTfDxZJJ4bOAbZa//tk2a6urkyePJnJkyc/dJ3ChQsTFhb2yO00aNCAnTt3pjqjiIiIPLmWlfJToYA3vefsYN/5GF6ZsZVe9YvyduNSODkYejxOsiF9xYmIiEiGCMztwS9v1KFrUGEApq07TsdpkZy7oSkRkrFUgEVERCTDuDo5MKJVeaZ0qYqnqyM7Tt8gZHw4q/Zf/O8Hi6QRFWARERHJcE0r5GNZn2AqFfQm+m4CPWdt46Ol+4lP1FkiJP2pAIuIiIghCuVyZ/7rdXi17t+nQf024gTPT93ImWspv6KXyONQARYRERHDODuaGdqiLN90rY63mxO7z0YTMiGcFfs0JULSjwqwiIiIGO7Zsn4s61uPqoV8uBmbSO+fd7PghJk4TYmQdKACLCIiIplCwZzuzO0VRK/6RQEIjzLT8ZvNnLxy2+BkktWoAIuIiEim4eRgZnDTMnzzUhU8HK3sO3+T5hMj+G33eaOjSRaiAiwiIiKZToOSeRhUMYnqhX24FZdIn5928t6iPcQmJBkdTbIAFWARERHJlHxc4IdXqtP76eKYTDBn82laT97Ascu3jI4mdk4FWERERDItRwczbzcpxaxXa5LLw5mDUTdpMTGCRTvPGh1N7JgKsIiIiGR6wSXy8Hu/YIKK5uJOfBID5u5m0ILd3I3XlAhJPRVgERERsQt5vVz5sUct+jcqgckE87adpeWkCI5cvGl0NLEzKsAiIiJiNxzMJvo3KsnsHrXI4+nCkUu3aDEpgnnbzmC1Wo2OJ3ZCBVhERETsTp1iuQnrG0xwidzEJlgYtOAv3pq3m9txiUZHEzugAiwiIiJ2KY+nC9+/UpN3mpTCbIKFO8/RclIEB6NijI4mmZwKsIiIiNgts9lE6NPF+fm1IPy9XDl2+TatJm3gpy2nNSVCHkoFWEREROxezUBfwvoF06BUHuISLQxeuIe+P+/iZmyC0dEkE1IBFhERkSzB18OZ77rVYHDT0jiYTfy2+zwtJkaw91y00dEkk1EBFhERkSzDbDbRq34x5vUKooCPGyev3qHtVxv5IfKkpkSIjQqwiIiIZDnVCudkWd96NCrjR3yShQ9+3UfonB3EaEqEoAIsIiIiWZSPuzPfdK3GB83L4uRgImxPFM0mhPPX2RtGRxODqQCLiIhIlmUymeheL5AFr9chwNeNM9fu0m7KRr6LOKEpEdmYCrCIiIhkeZUCfFjaJ5im5f1JSLIyYul+XvthOzfuxBsdTQygAiwiIiLZgrebE191qcqIVuVwdjCzav9Fmk2IYMfp60ZHkwymAiwiIiLZhslkomtQERa+WYfCudw5d+MuHaZG8vX6Y1gsmhKRXagAi4iISLZTvoA3S/vUo3nFfCRarHwadpAes7Zx7bamRGQHKsAiIiKSLXm6OjHxhSp82qYCzo5m/jx4iZDx4Ww9ec3oaJLOVIBFREQk2zKZTHSuVYhfQ+tSNLcHUTGxdPp6E5PXHNWUiCxMBVhERESyvTL5vPitTz3aVClAksXK5ysO0W3GFq7cijM6mqQDFWARERERwMPFkTEdKjG6XUVcncyEH7lCyPhwIo9dNTqapDEVYBEREZH/YzKZ6FAjgCW961E8bw4u3Yyjy/RNjPvjMEmaEpFlqACLiIiI/EtJP0+W9K7L89UKYrHCuD+O8NK3m7l0M9boaJIGVIBFREREHsDd2ZHPn6/EmA6VcHNyYOOxq4SMDyfiyBWjo8kTUgEWEREReYS2VQvyW596lPb35MqteF76bjNfrDhEYpLF6GjymFSARURERP5D8bw5WBxalxdqFsJqhUlrjtL5m81ERWtKhD1SARYRERFJAVcnB0a2rcCEF6rg4ezAlpPXCJkQzppDl4yOJqmkAiwiIiKSCi0r5Wdp32DK5vPi2u14XpmxlZG/HyBBUyLshgqwiIiISCoF5vZg4Zt16BpUGIBp647TcVok527cNTiZpIQKsIiIiMhjcHVyYESr8nzVpSqeLo7sOH2DkPHh/LH/otHR5D+oAIuIiIg8gZAK+VjWN5hKBb2JvptAj1nb+HjpfuITNSUis1IBFhEREXlChXK5M//1OrxaNxCA6REneH5aJGeu3TE4mTyICrCIiIhIGnB2NDO0RVm+fqkaXq6O7D5zg5AJ4SzfG2V0NPkXFWARERGRNNS4nD9h/YKpUsiHm7GJvP7jdoYt2UdcYpLR0eT/qACLiIiIpLGCOd2Z1yuIXk8VBWDmxpO0nxLJqau3DU4moAIsIiIiki6cHMwMDinDdy9XJ6e7E3vORdN8QgTL/rpgdLRsTwVYREREJB09U9qPsH7B1CiSk5txiYTO2cGQxXuITdCUCKOoAIuIiIiks3zebvzUszahTxfDZIIfN52mzVcbOX75ltHRsiUVYBEREZEM4Ohg5p0mpfn+lZrk8nDmwIUYWkyM4Ndd54yOlu2oAIuIiIhkoKdK5uH3fsHULurL7fgk+v28i/8t+Iu78ZoSkVFUgEVEREQyWF4vV2b3qE2/hiUwmWDutjO0nryBo5duGh0tW1ABFhERETGAg9nEgGdLMrt7LfJ4unDo4k1aTNzAgu1njY6W5akAi4iIiBioTvHchPUNpl7x3NxNSOLt+bsZOG8Xt+MSjY6WZakAi4iIiBgsj6cL379ak7cbl8RsgoU7ztFyUgQHo2KMjpYlqQCLiIiIZAIOZhO9nynBTz1r4+flwrHLt2k1aQM/bzmN1Wo1Ol6WogIsIiIikonUKpqLsL7B1C+Zh7hEC+8u3EO/n3dxS1Mi0owKsIiIiEgmkyuHCzNersH/niuNg9nEkt3naTExgn3no42OliWoAIuIiIhkQmaziTcaFGPua7XJ5+3KiSu3afPVRn6IPKkpEU9IBVhEREQkE6texJewvsE0LJ2X+EQLH/y6j9A5O4iJTTA6mt1SARYRERHJ5HJ6ODO9W3WGNCuDo9lE2J4omk+I4K+zN4yOZpdUgEVERETsgMlkokdwUea/HkQBHzdOX7tDuykb+S7ihKZEpJIKsIiIiIgdqVIoJ2F9g2lSzo+EJCsjlu6n1w/bib6jKREppQIsIiIiYme83Z2Y+mI1hrUoi7ODmZX7LxIyIZwdp68bHc0uqACLiIiI2CGTycTLdQP55Y06FPJ159yNu3SYGsnX649hsWhKxKOoAIuIiIjYsQoFvVnatx7NKuYj0WLl07CD9Ji1jWu3442OlmmpAIuIiIjYOS9XJya9UIVP2pTH2dHMnwcv0WxCOFtPXjM6WqakAiwiIiKSBZhMJrrUKsziN+tSNLcHF6Jj6fT1JiavOaopEf+iAiwiIiKShZTN78WSPvVoXTk/SRYrn684RLcZW7hyK87oaJmGCrCIiIhIFpPDxZGxHSszql0FXJ3MhB+5Qsj4cCKPXTU6WqagAiwiIiKSBZlMJjrWKMSvofUonjcHl27G0WX6Jsb/cYSkbD4lQgVYREREJAsr5e/Jkt51aV+tIBYrjP3jMC99u5lLN2ONjmYYFWARERGRLM7d2ZEvnq/El89Xws3JgY3HrhIyPoKII1eMjmYIFWARERGRbKJdtYL81qcepf09uXIrjpe+28yXKw+RmGQxOlqGUgEWERERyUaK583B4tC6vFAzAKsVJv55lM7TNxMVnX2mRKgAi4iIiGQzrk4OjGxbkfGdKuPh7MCWE9cImRDO2kOXjI6WIVSARURERLKpVpULsLRvMGXzeXHtdjwvz9jKqOUHs/yUCBVgERERkWwsMLcHC9+sw0u1CwMwZe0xOn29ifM37hqcLP2oAIuIiIhkc65ODnzUujxfdamKp4sj205dJ2RCOKsPXDQ6WrpQARYRERERAEIq5GNZ32AqFvTmxp0Eun+/jU+W7Sc+MWtNiVABFhERERGbQrncmf96EK/WDQTgm/ATdJgWyZlrdwxOlnZUgEVEREQkGRdHB4a2KMvXL1XDy9WRXWdu0GxCOCv2RRkdLU2oAIuIiIjIAzUu509Yv2CqFPIhJjaRXj9sZ9iSfcQlJhkd7YmoAIuIiIjIQxXM6c68XkH0eqooADM3nqT9lEhOXb1tcLLHpwIsIiIiIo/k5GBmcEgZvnu5OjndndhzLprmEyJY9tcFo6M9FhVgEREREUmRZ0r7EdYvmBpFcnIzLpHQOTsYsngPsQn2NSVCBVhEREREUiyftxs/9azNmw2KAfDjptO0+Wojxy/fMjhZyqkAi4iIiEiqODqYGfRcab5/tSa5PJw5cCGGFhMj+HXXOaOjpUi2KsCTJ0+mSJEiuLq6UqtWLbZs2WJ0JBERERG7Vb9kHsL6BVO7qC+345Po9/Mu/rfgL+7GZ+4pEdmmAM+dO5eBAwfy4YcfsmPHDipVqkSTJk24dOmS0dFERERE7Jaflyuze9Smb8MSmEwwd9sZWk/ewNFLmXdKRLYpwGPGjKFnz5688sorlC1blqlTp+Lu7s53331ndDQRERERu+ZgNjHw2ZL82L0WuXO4cOjiTdpO3cSWSyajoz2Qo9EBMkJ8fDzbt29n8ODBtmVms5lGjRoRGRl53/pxcXHExcXZbsfExACQkJBAQkJC+gf+v339879iXzR+9k9jaP80hvZN42efahb2ZsmbtXl7wR42Hr/G7GMOBG48Qbc6gem+79R8rWSLAnzlyhWSkpLw8/NLttzPz4+DBw/et/7IkSMZPnz4fctXrlyJu7t7uuV8kFWrVmXo/iRtafzsn8bQ/mkM7ZvGzz49nxd8EkxsvmTG48oBwsIOpPs+79y5k+J1s0UBTq3BgwczcOBA2+2YmBgCAgJo3LgxXl5eGZIhISGBVatW8eyzz+Lk5JQh+5S0o/GzfxpD+6cxtG8aP/vXJCGBZctX0ey5jBnDe3+xT4lsUYBz586Ng4MDFy9eTLb84sWL+Pv737e+i4sLLi4u9y13cnLK8DehEfuUtKPxs38aQ/unMbRvGj/75uyQcWOYmn1kiw/BOTs7U61aNVavXm1bZrFYWL16NUFBQQYmExEREZGMli2OAAMMHDiQbt26Ub16dWrWrMm4ceO4ffs2r7zyitHRRERERCQDZZsC3LFjRy5fvszQoUOJioqicuXKLF++/L4PxomIiIhI1pZtCjBA79696d27t9ExRERERMRA2WIOsIiIiIjIPSrAIiIiIpKtqACLiIiISLaiAiwiIiIi2YoKsIiIiIhkKyrAIiIiIpKtqACLiIiISLaiAiwiIiIi2YoKsIiIiIhkKyrAIiIiIpKtqACLiIiISLaiAiwiIiIi2YoKsIiIiIhkK45GB7AHVqsVgJiYmAzbZ0JCAnfu3CEmJgYnJ6cM26+kDY2f/dMY2j+NoX3T+Nm/jB7Dez3tXm97FBXgFLh58yYAAQEBBicRERERkUe5efMm3t7ej1zHZE1JTc7mLBYL58+fx9PTE5PJlCH7jImJISAggDNnzuDl5ZUh+5S0o/GzfxpD+6cxtG8aP/uX0WNotVq5efMm+fPnx2x+9CxfHQFOAbPZTMGCBQ3Zt5eXl974dkzjZ/80hvZPY2jfNH72LyPH8L+O/N6jD8GJiIiISLaiAiwiIiIi2YoKcCbl4uLChx9+iIuLi9FR5DFo/OyfxtD+aQztm8bP/mXmMdSH4EREREQkW9ERYBERERHJVlSARURERCRbUQEWERERkWxFBVhEREREshUVYANNnjyZIkWK4OrqSq1atdiyZctD1505cyYmkynZP1dX1wxMK/+0fv16WrRoQf78+TGZTCxevPg/H7N27VqqVq2Ki4sLxYsXZ+bMmemeUx4utWO4du3a+96DJpOJqKiojAksyYwcOZIaNWrg6elJ3rx5ad26NYcOHfrPx82fP5/SpUvj6upKhQoVCAsLy4C08iCPM4b6WZh5TJkyhYoVK9ouchEUFMTvv//+yMdkpvefCrBB5s6dy8CBA/nwww/ZsWMHlSpVokmTJly6dOmhj/Hy8uLChQu2f6dOncrAxPJPt2/fplKlSkyePDlF6584cYJmzZrx9NNPs2vXLvr370+PHj1YsWJFOieVh0ntGN5z6NChZO/DvHnzplNCeZR169YRGhrKpk2bWLVqFQkJCTRu3Jjbt28/9DEbN27khRdeoHv37uzcuZPWrVvTunVr9u7dm4HJ5Z7HGUPQz8LMomDBgnz22Wds376dbdu28cwzz9CqVSv27dv3wPUz3fvPKoaoWbOmNTQ01HY7KSnJmj9/fuvIkSMfuP6MGTOs3t7eGZROUgOwLlq06JHrDBo0yFquXLlkyzp27Ght0qRJOiaTlErJGK5Zs8YKWK9fv54hmSR1Ll26ZAWs69ate+g6HTp0sDZr1izZslq1all79eqV3vEkBVIyhvpZmLnlzJnTOn369Afel9nefzoCbID4+Hi2b99Oo0aNbMvMZjONGjUiMjLyoY+7desWhQsXJiAg4JG/ZUnmExkZmWy8AZo0afLI8ZbMqXLlyuTLl49nn32WDRs2GB1H/k90dDQAvr6+D11H78PMLSVjCPpZmBklJSXx888/c/v2bYKCgh64TmZ7/6kAG+DKlSskJSXh5+eXbLmfn99D5xOWKlWK7777jl9//ZUff/wRi8VCnTp1OHv2bEZElicUFRX1wPGOiYnh7t27BqWS1MiXLx9Tp07ll19+4ZdffiEgIIAGDRqwY8cOo6NlexaLhf79+1O3bl3Kly//0PUe9j7UPG7jpXQM9bMwc9mzZw85cuTAxcWF119/nUWLFlG2bNkHrpvZ3n+OhuxVUi0oKCjZb1V16tShTJkyTJs2jY8++sjAZCLZQ6lSpShVqpTtdp06dTh27Bhjx47lhx9+MDCZhIaGsnfvXiIiIoyOIo8ppWOon4WZS6lSpdi1axfR0dEsWLCAbt26sW7duoeW4MxER4ANkDt3bhwcHLh48WKy5RcvXsTf3z9F23BycqJKlSocPXo0PSJKGvP393/geHt5eeHm5mZQKnlSNWvW1HvQYL1792bp0qWsWbOGggULPnLdh70PU/p9V9JHasbw3/Sz0FjOzs4UL16catWqMXLkSCpVqsT48eMfuG5me/+pABvA2dmZatWqsXr1atsyi8XC6tWrHzp35t+SkpLYs2cP+fLlS6+YkoaCgoKSjTfAqlWrUjzekjnt2rVL70GDWK1WevfuzaJFi/jzzz8JDAz8z8fofZi5PM4Y/pt+FmYuFouFuLi4B96X6d5/hnz0Tqw///yz1cXFxTpz5kzr/v37ra+99prVx8fHGhUVZbVardaXXnrJ+u6779rWHz58uHXFihXWY8eOWbdv327t1KmT1dXV1bpv3z6jnkK2dvPmTevOnTutO3futALWMWPGWHfu3Gk9deqU1Wq1Wt99913rSy+9ZFv/+PHjVnd3d+s777xjPXDggHXy5MlWBwcH6/Lly416Ctleasdw7Nix1v/X3r3GRHG1cQD/LwuLCwtFLrLFgkWpeKWgCEItOyqRS0oxJmC8VShiAw2Ijam0osUvjU1M1TTVoCiaYKBYU6BVijVmV0BbMQZZBQFvgTY0bYX0JuDCnvdDw7QriKK06+v+f8kkzDlnzjy7k915eDgZysvLRVtbmzAajWLDhg3Czs5OnD592lovwaZlZGSI5557Tuj1etHZ2Slvd+/elcfc/z1aV1cn7O3txc6dO0Vzc7P44IMPhIODgzAajdZ4CTbvca4h74VPj9zcXGEwGMStW7dEY2OjyM3NFQqFQpw6dUoI8fR//pgAW9Enn3wi/Pz8hEqlEmFhYeLbb7+V+3Q6nVi7dq28n5OTI4/19vYW8fHx4tKlS1aImoT4+5FY92+D12zt2rVCp9MNOSY4OFioVCoxefJkUVRU9J/HTX8b7TX86KOPxJQpU8S4ceOEu7u7kCRJnDlzxjrB07DXDoDF5+r+71EhhCgrKxNTp04VKpVKzJw5U5w4ceK/DZxkj3MNeS98erz55pti0qRJQqVSCS8vL7F48WI5+RXi6f/8KYQQ4r+rNxMRERERWRfXABMRERGRTWECTEREREQ2hQkwEREREdkUJsBEREREZFOYABMRERGRTWECTEREREQ2hQkwEREREdkUJsBEREREZFOYABMRPSZJkpCTk2PtMKxu69atWL9+vbXDAADMnz8fx48ft3YYRPSUYwJMRPQAKSkpUCgUQ7br169bJZ78/Hw5BqVSCV9fX6xfvx5dXV2jmiclJQVLly4dk5h+/PFH7NmzB1u2bHmieUpKSrB06VLExMRg+fLluHv3rkX/9u3bsXr16ofOk5eXh9zcXJjN5ieKh4iebUyAiYhGEBsbi87OTovN39/favHMnDkTnZ2daG9vR1FREb7++mtkZGRYLZ7CwkJERkZi0qRJTzTPihUrMG/ePHR2duKLL77A999/b9FfUVGB119//aHzxMXF4ffff0dVVdUTxUNEzzYmwEREI3B0dIRWq7XYlErlsGO7u7vxxhtvYPz48XByckJcXBza2toAAEIIeHl54fPPP5fHBwcH4/nnn5f3a2tr4ejoOKT6+U/29vbQarWYOHEioqOjkZSUhG+++UbuHxgYQFpaGvz9/aFWqxEYGIg9e/bI/fn5+Thy5AgqKirkarJerwcAdHR0IDk5GW5ubnB3d0diYiJu37494vtTWlqKhIQEizZJkpCVlYWcnByMHz8e3t7eOHDgAP7880+kpqbCxcUFAQEBQ5LULVu2oL6+Hps3b4avr6/c3tHRgatXryI2NhZCCOTn58PPzw+Ojo7w8fFBdna2PFapVCI+Ph6lpaUjxk1Eto0JMBHRGElJScHFixdRWVmJ8+fPQwiB+Ph4mEwmKBQKREVFyclmd3c3mpub0dPTg2vXrgEADAYD5s2bBycnp0c63+3bt1FdXQ2VSiW3mc1mvPDCCzh27Biampqwbds2vP/++ygrKwMAbNq0CcnJyRaV7cjISJhMJsTExMDFxQU1NTWoq6uDRqNBbGws7t27N+z5u7q60NTUhNDQ0CF9R44cgaenJy5cuICsrCxkZGQgKSkJkZGRuHTpEpYsWYI1a9bIyX5PTw8AQKVS4cyZM6iurpbnqqyshCRJcHV1xfHjx7Fr1y4UFBSgra0N5eXlmD17tsW5w8LCUFNT80jvIRHZJntrB0BE9DT76quvoNFo5P24uDgcO3ZsyLi2tjZUVlairq4OkZGRAICjR4/C19cX5eXlSEpKgiRJKCgoAACcPXsWISEh0Gq10Ov1mDZtGvR6PXQ63YjxGI1GaDQaDAwMoLe3FwDw8ccfy/0ODg7Yvn27vO/v74/z58+jrKwMycnJ0Gg0UKvV6Ovrg1arlccVFxfDbDajsLAQCoUCAFBUVAQ3Nzfo9XosWbJkSCzt7e0QQsDHx2dI38svv4y8vDwAwHvvvYcdO3bA09MT6enpAIBt27Zh3759aGxsxPz585GVlYXW1lb8+uuvCAgIwOLFi+W5KioqkJiYKJ9Tq9UiOjoaDg4O8PPzQ1hYmMW5fXx80NHRAbPZDDs71nmIaCgmwEREI1i4cCH27dsn7zs7Ow87rrm5Gfb29ggPD5fbPDw8EBgYiObmZgCATqfDhg0b8PPPP8NgMECSJDkBTktLw7lz5/Duu++OGE9gYCAqKyvR29uL4uJiNDQ0ICsry2LMp59+ikOHDqG9vR09PT24d+8egoODR5z38uXLuH79OlxcXCzae3t7cePGjWGPGazajhs3bkhfUFCQ/LNSqYSHh4dFpdbb2xsA8NNPPwH4ay3xcH777TcYDAYcPHgQAJCUlITdu3dj8uTJiI2NRXx8PBISEmBv//ftTK1Ww2w2o6+vD2q1esTXTUS2ib8aExGNwNnZGQEBAfL2zzW7ozV79my4u7vDYDDICbAkSTAYDKivr4fJZJKrxw+iUqkQEBCAWbNmYceOHVAqlRYV39LSUmzatAlpaWk4deoUGhoakJqa+sBlDIP++OMPzJ07Fw0NDRZba2srVq5cOewxnp6eAP5aznE/BwcHi32FQmHRNlhlftjTGqqqqjBjxgx5TbCvry9aWlqwd+9eqNVqZGZmIioqCiaTST6mq6sLzs7OTH6J6IFYASYiGgPTp09Hf38/vvvuOzmJvXPnDlpaWjBjxgwAfyV9r776KioqKnD16lUsWLAATk5O6OvrQ0FBAUJDQx9YYX6QvLw8LFq0CBkZGfDx8ZGXYGRmZspj7q/gqlQqDAwMWLTNmTMHn332GSZMmABXV9dHOveUKVPg6uqKpqYmTJ06dVRxP6p/Ln8YpFarkZCQgISEBLz99tuYNm0ajEYj5syZAwC4cuUKQkJC/pV4iOjZwAowEdEYeOmll5CYmIj09HTU1tbi8uXLWL16NSZOnGiRwEmShJKSEgQHB0Oj0cDOzg5RUVE4evToQ9f/DiciIgJBQUH48MMP5TguXryI6upqtLa2YuvWraivr7c45sUXX0RjYyNaWlrwyy+/wGQyYdWqVfD09ERiYiJqampw69Yt6PV6ZGdnD3kk2SA7OztER0ejtrZ21HE/iv7+flRVVVk8/uzw4cM4ePAgrly5gps3b6K4uBhqtdriMWw1NTXDrlkmIhrEBJiIaIwUFRVh7ty5eO211xAREQEhBE6ePGnxp3+dToeBgQFIkiS3SZI0pG00Nm7ciMLCQnR0dOCtt97CsmXLsHz5coSHh+POnTsW1WAASE9PR2BgIEJDQ+Hl5YW6ujo4OTnh7Nmz8PPzw7JlyzB9+nSkpaWht7d3xIrwunXrUFpa+q/84wmDwQCNRiNXdgHAzc0NBw4cwCuvvIKgoCCcPn0aX375JTw8PAAAP/zwA86dO4fU1NQxj4eInh0KIYSwdhBERPT/SQiB8PBwbNy4EStWrBjTubOzs9Hf34+9e/c+8jGbN29Gd3c39u/fP6axENGzhWuAiYjosSkUCuzfvx9Go3HM5541axYiIiJGdcyECRPwzjvvjHksRPRsYQWYiIiIiGwK1wATERERkU1hAkxERERENoUJMBERERHZFCbARERERGRTmAATERERkU1hAkxERERENoUJMBERERHZFCbARERERGRTmAATERERkU35HzdLqPY2NtN4AAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "12.Thermal Efficiency Analysis"
      ],
      "metadata": {
        "id": "9e2mm0CM8W52"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "\n",
        "inlet_pressure = 101325\n",
        "outlet_pressure = 500000\n",
        "inlet_temperature = 300\n",
        "specific_heat_ratio = 1.4\n",
        "specific_heat_capacity = 1005\n",
        "\n",
        "\n",
        "isentropic_temp_outlet = inlet_temperature * (outlet_pressure / inlet_pressure) ** ((specific_heat_ratio - 1) / specific_heat_ratio)\n",
        "\n",
        "\n",
        "actual_temperature_outlet = 350\n",
        "actual_work = specific_heat_capacity * (actual_temperature_outlet - inlet_temperature)\n",
        "\n",
        "\n",
        "isentropic_work = specific_heat_capacity * (isentropic_temp_outlet - inlet_temperature)\n",
        "\n",
        "isentropic_efficiency = (isentropic_work / actual_work) * 100\n",
        "\n",
        "\n",
        "print(f\"Isentropic Outlet Temperature: {isentropic_temp_outlet:.2f} K\")\n",
        "print(f\"Actual Work: {actual_work:.2f} J/kg\")\n",
        "print(f\"Isentropic Work: {isentropic_work:.2f} J/kg\")\n",
        "print(f\"Isentropic Efficiency: {isentropic_efficiency:.2f} %\")\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "dv2bAJJc8F6G",
        "outputId": "8e3e31ff-6ae9-42b9-b1fb-32da7611ec73"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Isentropic Outlet Temperature: 473.36 K\n",
            "Actual Work: 50250.00 J/kg\n",
            "Isentropic Work: 174229.10 J/kg\n",
            "Isentropic Efficiency: 346.72 %\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "13.Blade Design Optimization"
      ],
      "metadata": {
        "id": "DLOP3ADr88ZM"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "\n",
        "flow_rate = 2.0\n",
        "rotational_speed = 6000\n",
        "impeller_diameter = 0.4\n",
        "inlet_velocity = 50\n",
        "\n",
        "\n",
        "omega = (2 * np.pi * rotational_speed) / 60\n",
        "\n",
        "\n",
        "blade_velocity = omega * (impeller_diameter / 2)\n",
        "\n",
        "\n",
        "relative_velocity = np.sqrt(blade_velocity**2 + inlet_velocity**2)\n",
        "\n",
        "\n",
        "optimum_blade_angle = np.degrees(np.arctan(inlet_velocity / blade_velocity))\n",
        "\n",
        "\n",
        "print(f\"Blade Velocity: {blade_velocity:.2f} m/s\")\n",
        "print(f\"Relative Velocity: {relative_velocity:.2f} m/s\")\n",
        "print(f\"Optimum Blade Angle: {optimum_blade_angle:.2f}°\")\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "msqVXxuh8oaJ",
        "outputId": "b798d66e-52bc-4683-caeb-620d1b691d8c"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Blade Velocity: 125.66 m/s\n",
            "Relative Velocity: 135.25 m/s\n",
            "Optimum Blade Angle: 21.70°\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "14.Detecting potential vibrations in the centrifugal compressor"
      ],
      "metadata": {
        "id": "TFjiWgii-RhQ"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "\n",
        "\n",
        "mass = 50\n",
        "stiffness = 20000\n",
        "damping_ratio = 0.05\n",
        "frequency_range = np.linspace(0, 200, 500)\n",
        "\n",
        "\n",
        "natural_frequency = np.sqrt(stiffness / mass) / (2 * np.pi)\n",
        "\n",
        "\n",
        "def vibration_amplitude(freq):\n",
        "    omega = 2 * np.pi * freq\n",
        "    return 1 / np.sqrt((1 - (freq / natural_frequency)**2)**2 + (2 * damping_ratio * (freq / natural_frequency))**2)\n",
        "\n",
        "amplitudes = vibration_amplitude(frequency_range)\n",
        "\n",
        "\n",
        "plt.figure(figsize=(8, 6))\n",
        "plt.plot(frequency_range, amplitudes, label=\"Amplitude Response\")\n",
        "plt.axvline(natural_frequency, color=\"r\", linestyle=\"--\", label=f\"Natural Frequency = {natural_frequency:.2f} Hz\")\n",
        "plt.xlabel(\"Frequency (Hz)\")\n",
        "plt.ylabel(\"Amplitude (m)\")\n",
        "plt.title(\"Vibration Analysis of Compressor Rotor\")\n",
        "plt.legend()\n",
        "plt.grid()\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 564
        },
        "id": "rYqjbZAt9FRZ",
        "outputId": "6f9ad616-cb31-4b72-96da-9157d9985525"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import plotly.graph_objects as go\n",
        "\n",
        "\n",
        "process_steps = [\n",
        "    \"Raw Material Procurement\", \"Component Design\", \"Precision Manufacturing\",\n",
        "    \"Quality Testing\", \"Assembly\", \"Performance Testing\", \"Packaging & Distribution\"\n",
        "]\n",
        "completion_percentage = [20, 40, 60, 75, 85, 95, 100]\n",
        "\n",
        "\n",
        "plt.figure(figsize=(10, 6))\n",
        "plt.barh(process_steps, completion_percentage, color=\"skyblue\")\n",
        "plt.xlabel(\"Completion Percentage (%)\")\n",
        "plt.ylabel(\"Process Steps\")\n",
        "plt.title(\"Manufacturing Workflow Progress\")\n",
        "plt.grid(axis=\"x\", linestyle=\"--\", alpha=0.7)\n",
        "plt.show()\n",
        "\n",
        "\n",
        "labels = [\"Isentropic Efficiency\", \"Mechanical Efficiency\", \"Thermal Efficiency\"]\n",
        "values = [85, 90, 80]\n",
        "\n",
        "\n",
        "fig1 = go.Figure(\n",
        "    data=[\n",
        "        go.Pie(\n",
        "            labels=labels,\n",
        "            values=values,\n",
        "            hole=0.4,\n",
        "            textinfo=\"label+percent\",\n",
        "            marker=dict(colors=[\"#636EFA\", \"#EF553B\", \"#00CC96\"]),\n",
        "        )\n",
        "    ]\n",
        ")\n",
        "fig1.update_layout(title=\"Centrifugal Compressor Performance Metrics\")\n",
        "fig1.show()\n",
        "\n",
        "\n",
        "supply_chain_nodes = [\"Supplier\", \"Manufacturer\", \"Warehouse\", \"Distributor\", \"Customer\"]\n",
        "connections = [(\"Supplier\", \"Manufacturer\"), (\"Manufacturer\", \"Warehouse\"),\n",
        "               (\"Warehouse\", \"Distributor\"), (\"Distributor\", \"Customer\")]\n",
        "\n",
        "\n",
        "fig2 = go.Figure(\n",
        "    data=[\n",
        "        go.Sankey(\n",
        "            node=dict(\n",
        "                label=supply_chain_nodes,\n",
        "                color=[\"#A9CCE3\", \"#D4E6F1\", \"#A3E4D7\", \"#F9E79F\", \"#FAD7A0\"],\n",
        "            ),\n",
        "            link=dict(\n",
        "                source=[0, 1, 2, 3],\n",
        "                target=[1, 2, 3, 4],\n",
        "                value=[10, 20, 15, 25],\n",
        "            ),\n",
        "        )\n",
        "    ]\n",
        ")\n",
        "fig2.update_layout(title=\"Supply Chain Network of Centrifugal Compressors\")\n",
        "fig2.show()\n",
        "\n",
        "\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "Ez4CN97Y-_an",
        "outputId": "c003992e-a404-4ccf-faae-0ec90b4fe220"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x600 with 1 Axes>"
            ],
            "image/png": 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              "    x.observe(notebookContainer, {childList: true});\n",
              "}}\n",
              "\n",
              "// Listen for the clearing of the current output cell\n",
              "var outputEl = gd.closest('.output');\n",
              "if (outputEl) {{\n",
              "    x.observe(outputEl, {childList: true});\n",
              "}}\n",
              "\n",
              "                        })                };                            </script>        </div>\n",
              "</body>\n",
              "</html>"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import networkx as nx\n",
        "\n",
        "\n",
        "workflow_steps = [\n",
        "    \"Raw Material Procurement\",\n",
        "    \"Component Design\",\n",
        "    \"Precision Manufacturing\",\n",
        "    \"Quality Testing\",\n",
        "    \"Assembly\",\n",
        "    \"Performance Testing\",\n",
        "    \"Packaging\",\n",
        "    \"Distribution\"\n",
        "]\n",
        "\n",
        "G = nx.DiGraph()\n",
        "\n",
        "\n",
        "for step in workflow_steps:\n",
        "    G.add_node(step)\n",
        "\n",
        "for i in range(len(workflow_steps) - 1):\n",
        "    G.add_edge(workflow_steps[i], workflow_steps[i + 1])\n",
        "\n",
        "\n",
        "plt.figure(figsize=(12, 8))\n",
        "pos = nx.spring_layout(G, seed=42)\n",
        "nx.draw(\n",
        "    G,\n",
        "    pos,\n",
        "    with_labels=True,\n",
        "    node_size=3000,\n",
        "    node_color=\"skyblue\",\n",
        "    font_size=10,\n",
        "    font_weight=\"bold\",\n",
        "    edge_color=\"gray\",\n",
        "    arrowsize=20,\n",
        ")\n",
        "plt.title(\"In-House Centrifugal Compressors Workflow Diagram\", fontsize=16)\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 861
        },
        "id": "sMRhDEW2BgyW",
        "outputId": "2115627f-1e33-44dc-9279-f26423af1332"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x800 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        }
      ]
    }
  ]
}